x-6(x+3)=-7-8x

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Solution for x-6(x+3)=-7-8x equation:


Simplifying
x + -6(x + 3) = -7 + -8x

Reorder the terms:
x + -6(3 + x) = -7 + -8x
x + (3 * -6 + x * -6) = -7 + -8x
x + (-18 + -6x) = -7 + -8x

Reorder the terms:
-18 + x + -6x = -7 + -8x

Combine like terms: x + -6x = -5x
-18 + -5x = -7 + -8x

Solving
-18 + -5x = -7 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-18 + -5x + 8x = -7 + -8x + 8x

Combine like terms: -5x + 8x = 3x
-18 + 3x = -7 + -8x + 8x

Combine like terms: -8x + 8x = 0
-18 + 3x = -7 + 0
-18 + 3x = -7

Add '18' to each side of the equation.
-18 + 18 + 3x = -7 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = -7 + 18
3x = -7 + 18

Combine like terms: -7 + 18 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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