(8x+4)+(5x+2)=(15x-18)

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Solution for (8x+4)+(5x+2)=(15x-18) equation:


Simplifying
(8x + 4) + (5x + 2) = (15x + -18)

Reorder the terms:
(4 + 8x) + (5x + 2) = (15x + -18)

Remove parenthesis around (4 + 8x)
4 + 8x + (5x + 2) = (15x + -18)

Reorder the terms:
4 + 8x + (2 + 5x) = (15x + -18)

Remove parenthesis around (2 + 5x)
4 + 8x + 2 + 5x = (15x + -18)

Reorder the terms:
4 + 2 + 8x + 5x = (15x + -18)

Combine like terms: 4 + 2 = 6
6 + 8x + 5x = (15x + -18)

Combine like terms: 8x + 5x = 13x
6 + 13x = (15x + -18)

Reorder the terms:
6 + 13x = (-18 + 15x)

Remove parenthesis around (-18 + 15x)
6 + 13x = -18 + 15x

Solving
6 + 13x = -18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 13x + -15x = -18 + 15x + -15x

Combine like terms: 13x + -15x = -2x
6 + -2x = -18 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -2x = -18 + 0
6 + -2x = -18

Add '-6' to each side of the equation.
6 + -6 + -2x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -18 + -6
-2x = -18 + -6

Combine like terms: -18 + -6 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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