(2x+8)+(3x+7)=(6x-2)

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Solution for (2x+8)+(3x+7)=(6x-2) equation:


Simplifying
(2x + 8) + (3x + 7) = (6x + -2)

Reorder the terms:
(8 + 2x) + (3x + 7) = (6x + -2)

Remove parenthesis around (8 + 2x)
8 + 2x + (3x + 7) = (6x + -2)

Reorder the terms:
8 + 2x + (7 + 3x) = (6x + -2)

Remove parenthesis around (7 + 3x)
8 + 2x + 7 + 3x = (6x + -2)

Reorder the terms:
8 + 7 + 2x + 3x = (6x + -2)

Combine like terms: 8 + 7 = 15
15 + 2x + 3x = (6x + -2)

Combine like terms: 2x + 3x = 5x
15 + 5x = (6x + -2)

Reorder the terms:
15 + 5x = (-2 + 6x)

Remove parenthesis around (-2 + 6x)
15 + 5x = -2 + 6x

Solving
15 + 5x = -2 + 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.
15 + 5x + -6x = -2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
15 + -1x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -1x = -2 + 0
15 + -1x = -2

Add '-15' to each side of the equation.
15 + -15 + -1x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -2 + -15
-1x = -2 + -15

Combine like terms: -2 + -15 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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