6(x-4)-2=16x-86

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Solution for 6(x-4)-2=16x-86 equation:


Simplifying
6(x + -4) + -2 = 16x + -86

Reorder the terms:
6(-4 + x) + -2 = 16x + -86
(-4 * 6 + x * 6) + -2 = 16x + -86
(-24 + 6x) + -2 = 16x + -86

Reorder the terms:
-24 + -2 + 6x = 16x + -86

Combine like terms: -24 + -2 = -26
-26 + 6x = 16x + -86

Reorder the terms:
-26 + 6x = -86 + 16x

Solving
-26 + 6x = -86 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-26 + 6x + -16x = -86 + 16x + -16x

Combine like terms: 6x + -16x = -10x
-26 + -10x = -86 + 16x + -16x

Combine like terms: 16x + -16x = 0
-26 + -10x = -86 + 0
-26 + -10x = -86

Add '26' to each side of the equation.
-26 + 26 + -10x = -86 + 26

Combine like terms: -26 + 26 = 0
0 + -10x = -86 + 26
-10x = -86 + 26

Combine like terms: -86 + 26 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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