-3(x-4)=7x-8

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Solution for -3(x-4)=7x-8 equation:


Simplifying
-3(x + -4) = 7x + -8

Reorder the terms:
-3(-4 + x) = 7x + -8
(-4 * -3 + x * -3) = 7x + -8
(12 + -3x) = 7x + -8

Reorder the terms:
12 + -3x = -8 + 7x

Solving
12 + -3x = -8 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
12 + -3x + -7x = -8 + 7x + -7x

Combine like terms: -3x + -7x = -10x
12 + -10x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -10x = -8 + 0
12 + -10x = -8

Add '-12' to each side of the equation.
12 + -12 + -10x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = -8 + -12
-10x = -8 + -12

Combine like terms: -8 + -12 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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