10-(x-2)=7-2x

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Solution for 10-(x-2)=7-2x equation:


Simplifying
10 + -1(x + -2) = 7 + -2x

Reorder the terms:
10 + -1(-2 + x) = 7 + -2x
10 + (-2 * -1 + x * -1) = 7 + -2x
10 + (2 + -1x) = 7 + -2x

Combine like terms: 10 + 2 = 12
12 + -1x = 7 + -2x

Solving
12 + -1x = 7 + -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.
12 + -1x + 2x = 7 + -2x + 2x

Combine like terms: -1x + 2x = 1x
12 + 1x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 1x = 7 + 0
12 + 1x = 7

Add '-12' to each side of the equation.
12 + -12 + 1x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 7 + -12
1x = 7 + -12

Combine like terms: 7 + -12 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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