(6x+7)=(8x-17)

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Solution for (6x+7)=(8x-17) equation:


Simplifying
(6x + 7) = (8x + -17)

Reorder the terms:
(7 + 6x) = (8x + -17)

Remove parenthesis around (7 + 6x)
7 + 6x = (8x + -17)

Reorder the terms:
7 + 6x = (-17 + 8x)

Remove parenthesis around (-17 + 8x)
7 + 6x = -17 + 8x

Solving
7 + 6x = -17 + 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.
7 + 6x + -8x = -17 + 8x + -8x

Combine like terms: 6x + -8x = -2x
7 + -2x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -2x = -17 + 0
7 + -2x = -17

Add '-7' to each side of the equation.
7 + -7 + -2x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -17 + -7
-2x = -17 + -7

Combine like terms: -17 + -7 = -24
-2x = -24

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

Simplifying
x = 12

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