4(2x-9)=-3(-x+8)-11x

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Solution for 4(2x-9)=-3(-x+8)-11x equation:


Simplifying
4(2x + -9) = -3(-1x + 8) + -11x

Reorder the terms:
4(-9 + 2x) = -3(-1x + 8) + -11x
(-9 * 4 + 2x * 4) = -3(-1x + 8) + -11x
(-36 + 8x) = -3(-1x + 8) + -11x

Reorder the terms:
-36 + 8x = -3(8 + -1x) + -11x
-36 + 8x = (8 * -3 + -1x * -3) + -11x
-36 + 8x = (-24 + 3x) + -11x

Combine like terms: 3x + -11x = -8x
-36 + 8x = -24 + -8x

Solving
-36 + 8x = -24 + -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.
-36 + 8x + 8x = -24 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-36 + 16x = -24 + -8x + 8x

Combine like terms: -8x + 8x = 0
-36 + 16x = -24 + 0
-36 + 16x = -24

Add '36' to each side of the equation.
-36 + 36 + 16x = -24 + 36

Combine like terms: -36 + 36 = 0
0 + 16x = -24 + 36
16x = -24 + 36

Combine like terms: -24 + 36 = 12
16x = 12

Divide each side by '16'.
x = 0.75

Simplifying
x = 0.75

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