-(4x-3)-(8x-9)+4=-9(x-4)-(6x+7)+4

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Solution for -(4x-3)-(8x-9)+4=-9(x-4)-(6x+7)+4 equation:


Simplifying
-1(4x + -3) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4

Reorder the terms:
-1(-3 + 4x) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4
(-3 * -1 + 4x * -1) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4
(3 + -4x) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4

Reorder the terms:
3 + -4x + -1(-9 + 8x) + 4 = -9(x + -4) + -1(6x + 7) + 4
3 + -4x + (-9 * -1 + 8x * -1) + 4 = -9(x + -4) + -1(6x + 7) + 4
3 + -4x + (9 + -8x) + 4 = -9(x + -4) + -1(6x + 7) + 4

Reorder the terms:
3 + 9 + 4 + -4x + -8x = -9(x + -4) + -1(6x + 7) + 4

Combine like terms: 3 + 9 = 12
12 + 4 + -4x + -8x = -9(x + -4) + -1(6x + 7) + 4

Combine like terms: 12 + 4 = 16
16 + -4x + -8x = -9(x + -4) + -1(6x + 7) + 4

Combine like terms: -4x + -8x = -12x
16 + -12x = -9(x + -4) + -1(6x + 7) + 4

Reorder the terms:
16 + -12x = -9(-4 + x) + -1(6x + 7) + 4
16 + -12x = (-4 * -9 + x * -9) + -1(6x + 7) + 4
16 + -12x = (36 + -9x) + -1(6x + 7) + 4

Reorder the terms:
16 + -12x = 36 + -9x + -1(7 + 6x) + 4
16 + -12x = 36 + -9x + (7 * -1 + 6x * -1) + 4
16 + -12x = 36 + -9x + (-7 + -6x) + 4

Reorder the terms:
16 + -12x = 36 + -7 + 4 + -9x + -6x

Combine like terms: 36 + -7 = 29
16 + -12x = 29 + 4 + -9x + -6x

Combine like terms: 29 + 4 = 33
16 + -12x = 33 + -9x + -6x

Combine like terms: -9x + -6x = -15x
16 + -12x = 33 + -15x

Solving
16 + -12x = 33 + -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.
16 + -12x + 15x = 33 + -15x + 15x

Combine like terms: -12x + 15x = 3x
16 + 3x = 33 + -15x + 15x

Combine like terms: -15x + 15x = 0
16 + 3x = 33 + 0
16 + 3x = 33

Add '-16' to each side of the equation.
16 + -16 + 3x = 33 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 33 + -16
3x = 33 + -16

Combine like terms: 33 + -16 = 17
3x = 17

Divide each side by '3'.
x = 5.666666667

Simplifying
x = 5.666666667

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