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Solve the equation and simplify your answer.

[tex]\[
4x + 8(x - 10) = 4(x + 8)
\][/tex]

[tex]\( x = [?] \)[/tex]

Sagot :

GinnyAnsweridn
To solve the given equation, let's go through it step-by-step:

[tex]\[ 4x + 8(x - 10) = 4(x + 8) \][/tex]

1. Distribute the constants inside the parentheses on both sides of the equation:
[tex]\[ 4x + 8x - 80 = 4x + 32 \][/tex]

2. Combine like terms on the left-hand side:
[tex]\[ 12x - 80 = 4x + 32 \][/tex]

3. Move all terms involving [tex]\( x \)[/tex] to one side by subtracting [tex]\( 4x \)[/tex] from both sides:
[tex]\[ 12x - 4x - 80 = 32 \][/tex]
[tex]\[ 8x - 80 = 32 \][/tex]

4. Isolate the variable term [tex]\( 8x \)[/tex] by adding 80 to both sides:
[tex]\[ 8x = 112 \][/tex]

5. Solve for [tex]\( x \ ) by dividing both sides by 8: \[ x = 14 \] So the solution to the equation \( 4x + 8(x - 10) = 4(x + 8) \)[/tex] is [tex]\( x = 14 \)[/tex].

Therefore, [tex]\( x = 14 \)[/tex].
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