-86=7(x-6)+5

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Solution for -86=7(x-6)+5 equation:


Simplifying
-86 = 7(x + -6) + 5

Reorder the terms:
-86 = 7(-6 + x) + 5
-86 = (-6 * 7 + x * 7) + 5
-86 = (-42 + 7x) + 5

Reorder the terms:
-86 = -42 + 5 + 7x

Combine like terms: -42 + 5 = -37
-86 = -37 + 7x

Solving
-86 = -37 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-86 + -7x = -37 + 7x + -7x

Combine like terms: 7x + -7x = 0
-86 + -7x = -37 + 0
-86 + -7x = -37

Add '86' to each side of the equation.
-86 + 86 + -7x = -37 + 86

Combine like terms: -86 + 86 = 0
0 + -7x = -37 + 86
-7x = -37 + 86

Combine like terms: -37 + 86 = 49
-7x = 49

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

Simplifying
x = -7

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