-3(2x-6)+5x-7=13

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Solution for -3(2x-6)+5x-7=13 equation:


Simplifying
-3(2x + -6) + 5x + -7 = 13

Reorder the terms:
-3(-6 + 2x) + 5x + -7 = 13
(-6 * -3 + 2x * -3) + 5x + -7 = 13
(18 + -6x) + 5x + -7 = 13

Reorder the terms:
18 + -7 + -6x + 5x = 13

Combine like terms: 18 + -7 = 11
11 + -6x + 5x = 13

Combine like terms: -6x + 5x = -1x
11 + -1x = 13

Solving
11 + -1x = 13

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 13 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 13 + -11
-1x = 13 + -11

Combine like terms: 13 + -11 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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