-11(x+1)+4(4x-3)=4(x-6)+9

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Solution for -11(x+1)+4(4x-3)=4(x-6)+9 equation:


Simplifying
-11(x + 1) + 4(4x + -3) = 4(x + -6) + 9

Reorder the terms:
-11(1 + x) + 4(4x + -3) = 4(x + -6) + 9
(1 * -11 + x * -11) + 4(4x + -3) = 4(x + -6) + 9
(-11 + -11x) + 4(4x + -3) = 4(x + -6) + 9

Reorder the terms:
-11 + -11x + 4(-3 + 4x) = 4(x + -6) + 9
-11 + -11x + (-3 * 4 + 4x * 4) = 4(x + -6) + 9
-11 + -11x + (-12 + 16x) = 4(x + -6) + 9

Reorder the terms:
-11 + -12 + -11x + 16x = 4(x + -6) + 9

Combine like terms: -11 + -12 = -23
-23 + -11x + 16x = 4(x + -6) + 9

Combine like terms: -11x + 16x = 5x
-23 + 5x = 4(x + -6) + 9

Reorder the terms:
-23 + 5x = 4(-6 + x) + 9
-23 + 5x = (-6 * 4 + x * 4) + 9
-23 + 5x = (-24 + 4x) + 9

Reorder the terms:
-23 + 5x = -24 + 9 + 4x

Combine like terms: -24 + 9 = -15
-23 + 5x = -15 + 4x

Solving
-23 + 5x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-23 + 5x + -4x = -15 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-23 + 1x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-23 + 1x = -15 + 0
-23 + 1x = -15

Add '23' to each side of the equation.
-23 + 23 + 1x = -15 + 23

Combine like terms: -23 + 23 = 0
0 + 1x = -15 + 23
1x = -15 + 23

Combine like terms: -15 + 23 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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