15x+(3x+4)=x+(5x-8)

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Solution for 15x+(3x+4)=x+(5x-8) equation:


Simplifying
15x + (3x + 4) = x + (5x + -8)

Reorder the terms:
15x + (4 + 3x) = x + (5x + -8)

Remove parenthesis around (4 + 3x)
15x + 4 + 3x = x + (5x + -8)

Reorder the terms:
4 + 15x + 3x = x + (5x + -8)

Combine like terms: 15x + 3x = 18x
4 + 18x = x + (5x + -8)

Reorder the terms:
4 + 18x = x + (-8 + 5x)

Remove parenthesis around (-8 + 5x)
4 + 18x = x + -8 + 5x

Reorder the terms:
4 + 18x = -8 + x + 5x

Combine like terms: x + 5x = 6x
4 + 18x = -8 + 6x

Solving
4 + 18x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 18x + -6x = -8 + 6x + -6x

Combine like terms: 18x + -6x = 12x
4 + 12x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 12x = -8 + 0
4 + 12x = -8

Add '-4' to each side of the equation.
4 + -4 + 12x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 12x = -8 + -4
12x = -8 + -4

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

Divide each side by '12'.
x = -1

Simplifying
x = -1

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