6-(2x-6)=5-3x

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Solution for 6-(2x-6)=5-3x equation:


Simplifying
6 + -1(2x + -6) = 5 + -3x

Reorder the terms:
6 + -1(-6 + 2x) = 5 + -3x
6 + (-6 * -1 + 2x * -1) = 5 + -3x
6 + (6 + -2x) = 5 + -3x

Combine like terms: 6 + 6 = 12
12 + -2x = 5 + -3x

Solving
12 + -2x = 5 + -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.
12 + -2x + 3x = 5 + -3x + 3x

Combine like terms: -2x + 3x = 1x
12 + 1x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 1x = 5 + 0
12 + 1x = 5

Add '-12' to each side of the equation.
12 + -12 + 1x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 5 + -12
1x = 5 + -12

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

Divide each side by '1'.
x = -7

Simplifying
x = -7

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