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

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


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

Reorder the terms:
8(7 + x) + -2x = 5x + -1(3x + -4)
(7 * 8 + x * 8) + -2x = 5x + -1(3x + -4)
(56 + 8x) + -2x = 5x + -1(3x + -4)

Combine like terms: 8x + -2x = 6x
56 + 6x = 5x + -1(3x + -4)

Reorder the terms:
56 + 6x = 5x + -1(-4 + 3x)
56 + 6x = 5x + (-4 * -1 + 3x * -1)
56 + 6x = 5x + (4 + -3x)

Reorder the terms:
56 + 6x = 4 + 5x + -3x

Combine like terms: 5x + -3x = 2x
56 + 6x = 4 + 2x

Solving
56 + 6x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
56 + 6x + -2x = 4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
56 + 4x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
56 + 4x = 4 + 0
56 + 4x = 4

Add '-56' to each side of the equation.
56 + -56 + 4x = 4 + -56

Combine like terms: 56 + -56 = 0
0 + 4x = 4 + -56
4x = 4 + -56

Combine like terms: 4 + -56 = -52
4x = -52

Divide each side by '4'.
x = -13

Simplifying
x = -13

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