1-(8-x)=4x+3(3x-6)

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Solution for 1-(8-x)=4x+3(3x-6) equation:


Simplifying
1 + -1(8 + -1x) = 4x + 3(3x + -6)
1 + (8 * -1 + -1x * -1) = 4x + 3(3x + -6)
1 + (-8 + 1x) = 4x + 3(3x + -6)

Combine like terms: 1 + -8 = -7
-7 + 1x = 4x + 3(3x + -6)

Reorder the terms:
-7 + 1x = 4x + 3(-6 + 3x)
-7 + 1x = 4x + (-6 * 3 + 3x * 3)
-7 + 1x = 4x + (-18 + 9x)

Reorder the terms:
-7 + 1x = -18 + 4x + 9x

Combine like terms: 4x + 9x = 13x
-7 + 1x = -18 + 13x

Solving
-7 + 1x = -18 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-7 + 1x + -13x = -18 + 13x + -13x

Combine like terms: 1x + -13x = -12x
-7 + -12x = -18 + 13x + -13x

Combine like terms: 13x + -13x = 0
-7 + -12x = -18 + 0
-7 + -12x = -18

Add '7' to each side of the equation.
-7 + 7 + -12x = -18 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = -18 + 7
-12x = -18 + 7

Combine like terms: -18 + 7 = -11
-12x = -11

Divide each side by '-12'.
x = 0.9166666667

Simplifying
x = 0.9166666667

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