(6x-2)+17=(8x+1)

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Solution for (6x-2)+17=(8x+1) equation:


Simplifying
(6x + -2) + 17 = (8x + 1)

Reorder the terms:
(-2 + 6x) + 17 = (8x + 1)

Remove parenthesis around (-2 + 6x)
-2 + 6x + 17 = (8x + 1)

Reorder the terms:
-2 + 17 + 6x = (8x + 1)

Combine like terms: -2 + 17 = 15
15 + 6x = (8x + 1)

Reorder the terms:
15 + 6x = (1 + 8x)

Remove parenthesis around (1 + 8x)
15 + 6x = 1 + 8x

Solving
15 + 6x = 1 + 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.
15 + 6x + -8x = 1 + 8x + -8x

Combine like terms: 6x + -8x = -2x
15 + -2x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -2x = 1 + 0
15 + -2x = 1

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

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

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

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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