7-(2x-2)=6-3x

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Solution for 7-(2x-2)=6-3x equation:


Simplifying
7 + -1(2x + -2) = 6 + -3x

Reorder the terms:
7 + -1(-2 + 2x) = 6 + -3x
7 + (-2 * -1 + 2x * -1) = 6 + -3x
7 + (2 + -2x) = 6 + -3x

Combine like terms: 7 + 2 = 9
9 + -2x = 6 + -3x

Solving
9 + -2x = 6 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
9 + -2x + 3x = 6 + -3x + 3x

Combine like terms: -2x + 3x = 1x
9 + 1x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 1x = 6 + 0
9 + 1x = 6

Add '-9' to each side of the equation.
9 + -9 + 1x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 6 + -9
1x = 6 + -9

Combine like terms: 6 + -9 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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