36-(4+x)=2(x-2)

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Solution for 36-(4+x)=2(x-2) equation:


Simplifying
36 + -1(4 + x) = 2(x + -2)
36 + (4 * -1 + x * -1) = 2(x + -2)
36 + (-4 + -1x) = 2(x + -2)

Combine like terms: 36 + -4 = 32
32 + -1x = 2(x + -2)

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

Solving
32 + -1x = -4 + 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.
32 + -1x + -2x = -4 + 2x + -2x

Combine like terms: -1x + -2x = -3x
32 + -3x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + -3x = -4 + 0
32 + -3x = -4

Add '-32' to each side of the equation.
32 + -32 + -3x = -4 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = -4 + -32
-3x = -4 + -32

Combine like terms: -4 + -32 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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