8(3x+6)=11x-8-x

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Solution for 8(3x+6)=11x-8-x equation:


Simplifying
8(3x + 6) = 11x + -8 + -1x

Reorder the terms:
8(6 + 3x) = 11x + -8 + -1x
(6 * 8 + 3x * 8) = 11x + -8 + -1x
(48 + 24x) = 11x + -8 + -1x

Reorder the terms:
48 + 24x = -8 + 11x + -1x

Combine like terms: 11x + -1x = 10x
48 + 24x = -8 + 10x

Solving
48 + 24x = -8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
48 + 24x + -10x = -8 + 10x + -10x

Combine like terms: 24x + -10x = 14x
48 + 14x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
48 + 14x = -8 + 0
48 + 14x = -8

Add '-48' to each side of the equation.
48 + -48 + 14x = -8 + -48

Combine like terms: 48 + -48 = 0
0 + 14x = -8 + -48
14x = -8 + -48

Combine like terms: -8 + -48 = -56
14x = -56

Divide each side by '14'.
x = -4

Simplifying
x = -4

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