8(x+1)-(5x-6)=6

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Solution for 8(x+1)-(5x-6)=6 equation:


Simplifying
8(x + 1) + -1(5x + -6) = 6

Reorder the terms:
8(1 + x) + -1(5x + -6) = 6
(1 * 8 + x * 8) + -1(5x + -6) = 6
(8 + 8x) + -1(5x + -6) = 6

Reorder the terms:
8 + 8x + -1(-6 + 5x) = 6
8 + 8x + (-6 * -1 + 5x * -1) = 6
8 + 8x + (6 + -5x) = 6

Reorder the terms:
8 + 6 + 8x + -5x = 6

Combine like terms: 8 + 6 = 14
14 + 8x + -5x = 6

Combine like terms: 8x + -5x = 3x
14 + 3x = 6

Solving
14 + 3x = 6

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 6 + -14
3x = 6 + -14

Combine like terms: 6 + -14 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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