32=8-(x-2)4

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Solution for 32=8-(x-2)4 equation:


Simplifying
32 = 8 + -1(x + -2) * 4

Reorder the terms:
32 = 8 + -1(-2 + x) * 4

Reorder the terms for easier multiplication:
32 = 8 + -1 * 4(-2 + x)

Multiply -1 * 4
32 = 8 + -4(-2 + x)
32 = 8 + (-2 * -4 + x * -4)
32 = 8 + (8 + -4x)

Combine like terms: 8 + 8 = 16
32 = 16 + -4x

Solving
32 = 16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
32 + 4x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
32 + 4x = 16 + 0
32 + 4x = 16

Add '-32' to each side of the equation.
32 + -32 + 4x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 16 + -32
4x = 16 + -32

Combine like terms: 16 + -32 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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