-7(2x-2)+5(3x-6)-7=9-4

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Solution for -7(2x-2)+5(3x-6)-7=9-4 equation:


Simplifying
-7(2x + -2) + 5(3x + -6) + -7 = 9 + -4

Reorder the terms:
-7(-2 + 2x) + 5(3x + -6) + -7 = 9 + -4
(-2 * -7 + 2x * -7) + 5(3x + -6) + -7 = 9 + -4
(14 + -14x) + 5(3x + -6) + -7 = 9 + -4

Reorder the terms:
14 + -14x + 5(-6 + 3x) + -7 = 9 + -4
14 + -14x + (-6 * 5 + 3x * 5) + -7 = 9 + -4
14 + -14x + (-30 + 15x) + -7 = 9 + -4

Reorder the terms:
14 + -30 + -7 + -14x + 15x = 9 + -4

Combine like terms: 14 + -30 = -16
-16 + -7 + -14x + 15x = 9 + -4

Combine like terms: -16 + -7 = -23
-23 + -14x + 15x = 9 + -4

Combine like terms: -14x + 15x = 1x
-23 + 1x = 9 + -4

Combine like terms: 9 + -4 = 5
-23 + 1x = 5

Solving
-23 + 1x = 5

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 1x = 5 + 23

Combine like terms: -23 + 23 = 0
0 + 1x = 5 + 23
1x = 5 + 23

Combine like terms: 5 + 23 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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