8(x+1)+6(x+1)=6x-6

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


Simplifying
8(x + 1) + 6(x + 1) = 6x + -6

Reorder the terms:
8(1 + x) + 6(x + 1) = 6x + -6
(1 * 8 + x * 8) + 6(x + 1) = 6x + -6
(8 + 8x) + 6(x + 1) = 6x + -6

Reorder the terms:
8 + 8x + 6(1 + x) = 6x + -6
8 + 8x + (1 * 6 + x * 6) = 6x + -6
8 + 8x + (6 + 6x) = 6x + -6

Reorder the terms:
8 + 6 + 8x + 6x = 6x + -6

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

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

Reorder the terms:
14 + 14x = -6 + 6x

Solving
14 + 14x = -6 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
14 + 8x = -6 + 0
14 + 8x = -6

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

Combine like terms: 14 + -14 = 0
0 + 8x = -6 + -14
8x = -6 + -14

Combine like terms: -6 + -14 = -20
8x = -20

Divide each side by '8'.
x = -2.5

Simplifying
x = -2.5

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