Let's solve the given equation step-by-step. The equation is:
[tex]\[ 5 + 3x = 35 \][/tex]
Step 1: Subtract 5 from both sides of the equation
We want to isolate the term involving [tex]\( x \)[/tex] on one side. To do this, subtract 5 from both sides:
[tex]\[ 5 + 3x - 5 = 35 - 5 \][/tex]
This simplifies to:
[tex]\[ 3x = 30 \][/tex]
Step 2: Solve for [tex]\( x \)[/tex]
Next, we need to isolate [tex]\( x \)[/tex] by dividing both sides of the equation by 3:
[tex]\[ \frac{3x}{3} = \frac{30}{3} \][/tex]
This simplifies to:
[tex]\[ x = 10 \][/tex]
Summary:
- Subtracting 5 from both sides gives us [tex]\( 3x = 30 \)[/tex]
- Dividing both sides by 3 gives us [tex]\( x = 10 \)[/tex]
Thus, the solution to the equation [tex]\( 5 + 3x = 35 \)[/tex] is:
[tex]\[ x = 10 \][/tex]
