2(x-3)+5x=8(x-1)-x

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Solution for 2(x-3)+5x=8(x-1)-x equation: 


Simplifying
2(x + -3) + 5x = 8(x + -1) + -1x

Reorder the terms:
2(-3 + x) + 5x = 8(x + -1) + -1x
(-3 * 2 + x * 2) + 5x = 8(x + -1) + -1x
(-6 + 2x) + 5x = 8(x + -1) + -1x

Combine like terms: 2x + 5x = 7x
-6 + 7x = 8(x + -1) + -1x

Reorder the terms:
-6 + 7x = 8(-1 + x) + -1x
-6 + 7x = (-1 * 8 + x * 8) + -1x
-6 + 7x = (-8 + 8x) + -1x

Combine like terms: 8x + -1x = 7x
-6 + 7x = -8 + 7x

Add '-7x' to each side of the equation.
-6 + 7x + -7x = -8 + 7x + -7x

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

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

Solving
-6 = -8

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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