(2x+15)+(4x-1)=8x+8

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Solution for (2x+15)+(4x-1)=8x+8 equation:


Simplifying
(2x + 15) + (4x + -1) = 8x + 8

Reorder the terms:
(15 + 2x) + (4x + -1) = 8x + 8

Remove parenthesis around (15 + 2x)
15 + 2x + (4x + -1) = 8x + 8

Reorder the terms:
15 + 2x + (-1 + 4x) = 8x + 8

Remove parenthesis around (-1 + 4x)
15 + 2x + -1 + 4x = 8x + 8

Reorder the terms:
15 + -1 + 2x + 4x = 8x + 8

Combine like terms: 15 + -1 = 14
14 + 2x + 4x = 8x + 8

Combine like terms: 2x + 4x = 6x
14 + 6x = 8x + 8

Reorder the terms:
14 + 6x = 8 + 8x

Solving
14 + 6x = 8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + 6x + -8x = 8 + 8x + -8x

Combine like terms: 6x + -8x = -2x
14 + -2x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -2x = 8 + 0
14 + -2x = 8

Add '-14' to each side of the equation.
14 + -14 + -2x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 8 + -14
-2x = 8 + -14

Combine like terms: 8 + -14 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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