7=2x-4(x-8)

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Solution for 7=2x-4(x-8) equation:


Simplifying
7 = 2x + -4(x + -8)

Reorder the terms:
7 = 2x + -4(-8 + x)
7 = 2x + (-8 * -4 + x * -4)
7 = 2x + (32 + -4x)

Reorder the terms:
7 = 32 + 2x + -4x

Combine like terms: 2x + -4x = -2x
7 = 32 + -2x

Solving
7 = 32 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + 2x = 32 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 2x = 32 + 0
7 + 2x = 32

Add '-7' to each side of the equation.
7 + -7 + 2x = 32 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 32 + -7
2x = 32 + -7

Combine like terms: 32 + -7 = 25
2x = 25

Divide each side by '2'.
x = 12.5

Simplifying
x = 12.5

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