6-(2x-7)=5-3x

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Solution for 6-(2x-7)=5-3x equation:


Simplifying
6 + -1(2x + -7) = 5 + -3x

Reorder the terms:
6 + -1(-7 + 2x) = 5 + -3x
6 + (-7 * -1 + 2x * -1) = 5 + -3x
6 + (7 + -2x) = 5 + -3x

Combine like terms: 6 + 7 = 13
13 + -2x = 5 + -3x

Solving
13 + -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.
13 + -2x + 3x = 5 + -3x + 3x

Combine like terms: -2x + 3x = 1x
13 + 1x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
13 + 1x = 5 + 0
13 + 1x = 5

Add '-13' to each side of the equation.
13 + -13 + 1x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 5 + -13
1x = 5 + -13

Combine like terms: 5 + -13 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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