38=32-2(x-1)

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Solution for 38=32-2(x-1) equation:


Simplifying
38 = 32 + -2(x + -1)

Reorder the terms:
38 = 32 + -2(-1 + x)
38 = 32 + (-1 * -2 + x * -2)
38 = 32 + (2 + -2x)

Combine like terms: 32 + 2 = 34
38 = 34 + -2x

Solving
38 = 34 + -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.
38 + 2x = 34 + -2x + 2x

Combine like terms: -2x + 2x = 0
38 + 2x = 34 + 0
38 + 2x = 34

Add '-38' to each side of the equation.
38 + -38 + 2x = 34 + -38

Combine like terms: 38 + -38 = 0
0 + 2x = 34 + -38
2x = 34 + -38

Combine like terms: 34 + -38 = -4
2x = -4

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

Simplifying
x = -2

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