5-3(x+6)=x-1+8x

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Solution for 5-3(x+6)=x-1+8x equation:


Simplifying
5 + -3(x + 6) = x + -1 + 8x

Reorder the terms:
5 + -3(6 + x) = x + -1 + 8x
5 + (6 * -3 + x * -3) = x + -1 + 8x
5 + (-18 + -3x) = x + -1 + 8x

Combine like terms: 5 + -18 = -13
-13 + -3x = x + -1 + 8x

Reorder the terms:
-13 + -3x = -1 + x + 8x

Combine like terms: x + 8x = 9x
-13 + -3x = -1 + 9x

Solving
-13 + -3x = -1 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-13 + -3x + -9x = -1 + 9x + -9x

Combine like terms: -3x + -9x = -12x
-13 + -12x = -1 + 9x + -9x

Combine like terms: 9x + -9x = 0
-13 + -12x = -1 + 0
-13 + -12x = -1

Add '13' to each side of the equation.
-13 + 13 + -12x = -1 + 13

Combine like terms: -13 + 13 = 0
0 + -12x = -1 + 13
-12x = -1 + 13

Combine like terms: -1 + 13 = 12
-12x = 12

Divide each side by '-12'.
x = -1

Simplifying
x = -1

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