-(5x-8)-(6x-3)+4=-6(x-4)-(9x+9)+3

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Solution for -(5x-8)-(6x-3)+4=-6(x-4)-(9x+9)+3 equation:


Simplifying
-1(5x + -8) + -1(6x + -3) + 4 = -6(x + -4) + -1(9x + 9) + 3

Reorder the terms:
-1(-8 + 5x) + -1(6x + -3) + 4 = -6(x + -4) + -1(9x + 9) + 3
(-8 * -1 + 5x * -1) + -1(6x + -3) + 4 = -6(x + -4) + -1(9x + 9) + 3
(8 + -5x) + -1(6x + -3) + 4 = -6(x + -4) + -1(9x + 9) + 3

Reorder the terms:
8 + -5x + -1(-3 + 6x) + 4 = -6(x + -4) + -1(9x + 9) + 3
8 + -5x + (-3 * -1 + 6x * -1) + 4 = -6(x + -4) + -1(9x + 9) + 3
8 + -5x + (3 + -6x) + 4 = -6(x + -4) + -1(9x + 9) + 3

Reorder the terms:
8 + 3 + 4 + -5x + -6x = -6(x + -4) + -1(9x + 9) + 3

Combine like terms: 8 + 3 = 11
11 + 4 + -5x + -6x = -6(x + -4) + -1(9x + 9) + 3

Combine like terms: 11 + 4 = 15
15 + -5x + -6x = -6(x + -4) + -1(9x + 9) + 3

Combine like terms: -5x + -6x = -11x
15 + -11x = -6(x + -4) + -1(9x + 9) + 3

Reorder the terms:
15 + -11x = -6(-4 + x) + -1(9x + 9) + 3
15 + -11x = (-4 * -6 + x * -6) + -1(9x + 9) + 3
15 + -11x = (24 + -6x) + -1(9x + 9) + 3

Reorder the terms:
15 + -11x = 24 + -6x + -1(9 + 9x) + 3
15 + -11x = 24 + -6x + (9 * -1 + 9x * -1) + 3
15 + -11x = 24 + -6x + (-9 + -9x) + 3

Reorder the terms:
15 + -11x = 24 + -9 + 3 + -6x + -9x

Combine like terms: 24 + -9 = 15
15 + -11x = 15 + 3 + -6x + -9x

Combine like terms: 15 + 3 = 18
15 + -11x = 18 + -6x + -9x

Combine like terms: -6x + -9x = -15x
15 + -11x = 18 + -15x

Solving
15 + -11x = 18 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
15 + -11x + 15x = 18 + -15x + 15x

Combine like terms: -11x + 15x = 4x
15 + 4x = 18 + -15x + 15x

Combine like terms: -15x + 15x = 0
15 + 4x = 18 + 0
15 + 4x = 18

Add '-15' to each side of the equation.
15 + -15 + 4x = 18 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 18 + -15
4x = 18 + -15

Combine like terms: 18 + -15 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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