40=30-2(x-1)

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Solution for 40=30-2(x-1) equation:


Simplifying
40 = 30 + -2(x + -1)

Reorder the terms:
40 = 30 + -2(-1 + x)
40 = 30 + (-1 * -2 + x * -2)
40 = 30 + (2 + -2x)

Combine like terms: 30 + 2 = 32
40 = 32 + -2x

Solving
40 = 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.
40 + 2x = 32 + -2x + 2x

Combine like terms: -2x + 2x = 0
40 + 2x = 32 + 0
40 + 2x = 32

Add '-40' to each side of the equation.
40 + -40 + 2x = 32 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 32 + -40
2x = 32 + -40

Combine like terms: 32 + -40 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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