-6(-8-x+5)-4=-3(2x-7x-8)+1

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Solution for -6(-8-x+5)-4=-3(2x-7x-8)+1 equation:


Simplifying
-6(-8 + -1x + 5) + -4 = -3(2x + -7x + -8) + 1

Reorder the terms:
-6(-8 + 5 + -1x) + -4 = -3(2x + -7x + -8) + 1

Combine like terms: -8 + 5 = -3
-6(-3 + -1x) + -4 = -3(2x + -7x + -8) + 1
(-3 * -6 + -1x * -6) + -4 = -3(2x + -7x + -8) + 1
(18 + 6x) + -4 = -3(2x + -7x + -8) + 1

Reorder the terms:
18 + -4 + 6x = -3(2x + -7x + -8) + 1

Combine like terms: 18 + -4 = 14
14 + 6x = -3(2x + -7x + -8) + 1

Reorder the terms:
14 + 6x = -3(-8 + 2x + -7x) + 1

Combine like terms: 2x + -7x = -5x
14 + 6x = -3(-8 + -5x) + 1
14 + 6x = (-8 * -3 + -5x * -3) + 1
14 + 6x = (24 + 15x) + 1

Reorder the terms:
14 + 6x = 24 + 1 + 15x

Combine like terms: 24 + 1 = 25
14 + 6x = 25 + 15x

Solving
14 + 6x = 25 + 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.
14 + 6x + -15x = 25 + 15x + -15x

Combine like terms: 6x + -15x = -9x
14 + -9x = 25 + 15x + -15x

Combine like terms: 15x + -15x = 0
14 + -9x = 25 + 0
14 + -9x = 25

Add '-14' to each side of the equation.
14 + -14 + -9x = 25 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = 25 + -14
-9x = 25 + -14

Combine like terms: 25 + -14 = 11
-9x = 11

Divide each side by '-9'.
x = -1.222222222

Simplifying
x = -1.222222222

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