-(4x-5)-(3x-8)+4=-8(x-5)-(2x+8)+4

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


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

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

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

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

Combine like terms: 5 + 8 = 13
13 + 4 + -4x + -3x = -8(x + -5) + -1(2x + 8) + 4

Combine like terms: 13 + 4 = 17
17 + -4x + -3x = -8(x + -5) + -1(2x + 8) + 4

Combine like terms: -4x + -3x = -7x
17 + -7x = -8(x + -5) + -1(2x + 8) + 4

Reorder the terms:
17 + -7x = -8(-5 + x) + -1(2x + 8) + 4
17 + -7x = (-5 * -8 + x * -8) + -1(2x + 8) + 4
17 + -7x = (40 + -8x) + -1(2x + 8) + 4

Reorder the terms:
17 + -7x = 40 + -8x + -1(8 + 2x) + 4
17 + -7x = 40 + -8x + (8 * -1 + 2x * -1) + 4
17 + -7x = 40 + -8x + (-8 + -2x) + 4

Reorder the terms:
17 + -7x = 40 + -8 + 4 + -8x + -2x

Combine like terms: 40 + -8 = 32
17 + -7x = 32 + 4 + -8x + -2x

Combine like terms: 32 + 4 = 36
17 + -7x = 36 + -8x + -2x

Combine like terms: -8x + -2x = -10x
17 + -7x = 36 + -10x

Solving
17 + -7x = 36 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
17 + -7x + 10x = 36 + -10x + 10x

Combine like terms: -7x + 10x = 3x
17 + 3x = 36 + -10x + 10x

Combine like terms: -10x + 10x = 0
17 + 3x = 36 + 0
17 + 3x = 36

Add '-17' to each side of the equation.
17 + -17 + 3x = 36 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 36 + -17
3x = 36 + -17

Combine like terms: 36 + -17 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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