3(2x-7)=8(x+4)-2x

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Solution for 3(2x-7)=8(x+4)-2x equation: 


Simplifying
3(2x + -7) = 8(x + 4) + -2x

Reorder the terms:
3(-7 + 2x) = 8(x + 4) + -2x
(-7 * 3 + 2x * 3) = 8(x + 4) + -2x
(-21 + 6x) = 8(x + 4) + -2x

Reorder the terms:
-21 + 6x = 8(4 + x) + -2x
-21 + 6x = (4 * 8 + x * 8) + -2x
-21 + 6x = (32 + 8x) + -2x

Combine like terms: 8x + -2x = 6x
-21 + 6x = 32 + 6x

Add '-6x' to each side of the equation.
-21 + 6x + -6x = 32 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + 0 = 32 + 6x + -6x
-21 = 32 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 = 32 + 0
-21 = 32

Solving
-21 = 32

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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