-2x+7=6x-17

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Solution for -2x+7=6x-17 equation:


Simplifying
-2x + 7 = 6x + -17

Reorder the terms:
7 + -2x = 6x + -17

Reorder the terms:
7 + -2x = -17 + 6x

Solving
7 + -2x = -17 + 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.
7 + -2x + -6x = -17 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
7 + -8x = -17 + 0
7 + -8x = -17

Add '-7' to each side of the equation.
7 + -7 + -8x = -17 + -7

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

Combine like terms: -17 + -7 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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