-116=3(5x-6)+7

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Solution for -116=3(5x-6)+7 equation:


Simplifying
-116 = 3(5x + -6) + 7

Reorder the terms:
-116 = 3(-6 + 5x) + 7
-116 = (-6 * 3 + 5x * 3) + 7
-116 = (-18 + 15x) + 7

Reorder the terms:
-116 = -18 + 7 + 15x

Combine like terms: -18 + 7 = -11
-116 = -11 + 15x

Solving
-116 = -11 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-116 + -15x = -11 + 15x + -15x

Combine like terms: 15x + -15x = 0
-116 + -15x = -11 + 0
-116 + -15x = -11

Add '116' to each side of the equation.
-116 + 116 + -15x = -11 + 116

Combine like terms: -116 + 116 = 0
0 + -15x = -11 + 116
-15x = -11 + 116

Combine like terms: -11 + 116 = 105
-15x = 105

Divide each side by '-15'.
x = -7

Simplifying
x = -7

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