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

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


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

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

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

Reorder the terms:
8 + 5x = -4 + 3x + -5x

Combine like terms: 3x + -5x = -2x
8 + 5x = -4 + -2x

Solving
8 + 5x = -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.
8 + 5x + 2x = -4 + -2x + 2x

Combine like terms: 5x + 2x = 7x
8 + 7x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 7x = -4 + 0
8 + 7x = -4

Add '-8' to each side of the equation.
8 + -8 + 7x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -4 + -8
7x = -4 + -8

Combine like terms: -4 + -8 = -12
7x = -12

Divide each side by '7'.
x = -1.714285714

Simplifying
x = -1.714285714

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