42=32-2(x-2)

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Solution for 42=32-2(x-2) equation:


Simplifying
42 = 32 + -2(x + -2)

Reorder the terms:
42 = 32 + -2(-2 + x)
42 = 32 + (-2 * -2 + x * -2)
42 = 32 + (4 + -2x)

Combine like terms: 32 + 4 = 36
42 = 36 + -2x

Solving
42 = 36 + -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.
42 + 2x = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
42 + 2x = 36 + 0
42 + 2x = 36

Add '-42' to each side of the equation.
42 + -42 + 2x = 36 + -42

Combine like terms: 42 + -42 = 0
0 + 2x = 36 + -42
2x = 36 + -42

Combine like terms: 36 + -42 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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