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Sagot :
Sure, let's solve for [tex]\( x \)[/tex] in each equation step by step.
### Part (a) [tex]\( 3x + 2x + 3 - 5 = 2 \)[/tex]
1. Combine like terms on the left side of the equation:
[tex]\[ 3x + 2x = 5x \][/tex]
So the equation becomes:
[tex]\[ 5x + 3 - 5 = 2 \][/tex]
2. Simplify further by combining the constant terms on the left side:
[tex]\[ 3 - 5 = -2 \][/tex]
This gives us:
[tex]\[ 5x - 2 = 2 \][/tex]
3. Isolate the variable [tex]\( x \)[/tex] by adding 2 to both sides:
[tex]\[ 5x - 2 + 2 = 2 + 2 \][/tex]
Simplifying this, we get:
[tex]\[ 5x = 4 \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 5:
[tex]\[ x = \frac{4}{5} \][/tex]
Hence, the solution for part (a) is:
[tex]\[ x = 0.8 \][/tex]
### Part (b) [tex]\( 3x + 25 - 2x = 2 \)[/tex]
1. Combine like terms on the left side of the equation:
[tex]\[ 3x - 2x = x \][/tex]
So the equation becomes:
[tex]\[ x + 25 = 2 \][/tex]
2. Isolate the variable [tex]\( x \)[/tex] by subtracting 25 from both sides:
[tex]\[ x + 25 - 25 = 2 - 25 \][/tex]
Simplifying this, we get:
[tex]\[ x = -23 \][/tex]
Hence, the solution for part (b) is:
[tex]\[ x = -23 \][/tex]
### Final Answers
Part (a): [tex]\( x = 0.8 \)[/tex]
Part (b): [tex]\( x = -23 \)[/tex]
### Part (a) [tex]\( 3x + 2x + 3 - 5 = 2 \)[/tex]
1. Combine like terms on the left side of the equation:
[tex]\[ 3x + 2x = 5x \][/tex]
So the equation becomes:
[tex]\[ 5x + 3 - 5 = 2 \][/tex]
2. Simplify further by combining the constant terms on the left side:
[tex]\[ 3 - 5 = -2 \][/tex]
This gives us:
[tex]\[ 5x - 2 = 2 \][/tex]
3. Isolate the variable [tex]\( x \)[/tex] by adding 2 to both sides:
[tex]\[ 5x - 2 + 2 = 2 + 2 \][/tex]
Simplifying this, we get:
[tex]\[ 5x = 4 \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 5:
[tex]\[ x = \frac{4}{5} \][/tex]
Hence, the solution for part (a) is:
[tex]\[ x = 0.8 \][/tex]
### Part (b) [tex]\( 3x + 25 - 2x = 2 \)[/tex]
1. Combine like terms on the left side of the equation:
[tex]\[ 3x - 2x = x \][/tex]
So the equation becomes:
[tex]\[ x + 25 = 2 \][/tex]
2. Isolate the variable [tex]\( x \)[/tex] by subtracting 25 from both sides:
[tex]\[ x + 25 - 25 = 2 - 25 \][/tex]
Simplifying this, we get:
[tex]\[ x = -23 \][/tex]
Hence, the solution for part (b) is:
[tex]\[ x = -23 \][/tex]
### Final Answers
Part (a): [tex]\( x = 0.8 \)[/tex]
Part (b): [tex]\( x = -23 \)[/tex]
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