9-1(x-1)=2(2-x)

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Solution for 9-1(x-1)=2(2-x) equation: 


Simplifying
9 + -1(x + -1) = 2(2 + -1x)

Reorder the terms:
9 + -1(-1 + x) = 2(2 + -1x)
9 + (-1 * -1 + x * -1) = 2(2 + -1x)
9 + (1 + -1x) = 2(2 + -1x)

Combine like terms: 9 + 1 = 10
10 + -1x = 2(2 + -1x)
10 + -1x = (2 * 2 + -1x * 2)
10 + -1x = (4 + -2x)

Solving
10 + -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.
10 + -1x + 2x = 4 + -2x + 2x

Combine like terms: -1x + 2x = 1x
10 + 1x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 1x = 4 + 0
10 + 1x = 4

Add '-10' to each side of the equation.
10 + -10 + 1x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 4 + -10
1x = 4 + -10

Combine like terms: 4 + -10 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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