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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
-8 + 10x = 12 + 0
-8 + 10x = 12

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

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

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

Divide each side by '10'.
x = 2

Simplifying
x = 2

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