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

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


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

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

Remove parenthesis around (3 + 5x)
3 + 5x + -1(2x + -4) = (x + -1) + -1(x + -8)

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

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

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

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

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

Remove parenthesis around (-1 + x)
7 + 3x = -1 + x + -1(x + -8)

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

Reorder the terms:
7 + 3x = -1 + 8 + x + -1x

Combine like terms: -1 + 8 = 7
7 + 3x = 7 + x + -1x

Combine like terms: x + -1x = 0
7 + 3x = 7 + 0
7 + 3x = 7

Add '-7' to each side of the equation.
7 + -7 + 3x = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 7 + -7
3x = 7 + -7

Combine like terms: 7 + -7 = 0
3x = 0

Solving
3x = 0

Solving for variable 'x'.

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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