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

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


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

Reorder the terms:
-7(-3 + 2x) + 5(3x + -2) + -6 = 5 + -7
(-3 * -7 + 2x * -7) + 5(3x + -2) + -6 = 5 + -7
(21 + -14x) + 5(3x + -2) + -6 = 5 + -7

Reorder the terms:
21 + -14x + 5(-2 + 3x) + -6 = 5 + -7
21 + -14x + (-2 * 5 + 3x * 5) + -6 = 5 + -7
21 + -14x + (-10 + 15x) + -6 = 5 + -7

Reorder the terms:
21 + -10 + -6 + -14x + 15x = 5 + -7

Combine like terms: 21 + -10 = 11
11 + -6 + -14x + 15x = 5 + -7

Combine like terms: 11 + -6 = 5
5 + -14x + 15x = 5 + -7

Combine like terms: -14x + 15x = 1x
5 + 1x = 5 + -7

Combine like terms: 5 + -7 = -2
5 + 1x = -2

Solving
5 + 1x = -2

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -2 + -5
1x = -2 + -5

Combine like terms: -2 + -5 = -7
1x = -7

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

Simplifying
x = -7

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