6(x+4)-8=6+2(1+7x)

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Solution for 6(x+4)-8=6+2(1+7x) equation: 


Simplifying
6(x + 4) + -8 = 6 + 2(1 + 7x)

Reorder the terms:
6(4 + x) + -8 = 6 + 2(1 + 7x)
(4 * 6 + x * 6) + -8 = 6 + 2(1 + 7x)
(24 + 6x) + -8 = 6 + 2(1 + 7x)

Reorder the terms:
24 + -8 + 6x = 6 + 2(1 + 7x)

Combine like terms: 24 + -8 = 16
16 + 6x = 6 + 2(1 + 7x)
16 + 6x = 6 + (1 * 2 + 7x * 2)
16 + 6x = 6 + (2 + 14x)

Combine like terms: 6 + 2 = 8
16 + 6x = 8 + 14x

Solving
16 + 6x = 8 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
16 + 6x + -14x = 8 + 14x + -14x

Combine like terms: 6x + -14x = -8x
16 + -8x = 8 + 14x + -14x

Combine like terms: 14x + -14x = 0
16 + -8x = 8 + 0
16 + -8x = 8

Add '-16' to each side of the equation.
16 + -16 + -8x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = 8 + -16
-8x = 8 + -16

Combine like terms: 8 + -16 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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