6x-8=12+7x+21

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Solution for 6x-8=12+7x+21 equation:


Simplifying
6x + -8 = 12 + 7x + 21

Reorder the terms:
-8 + 6x = 12 + 7x + 21

Reorder the terms:
-8 + 6x = 12 + 21 + 7x

Combine like terms: 12 + 21 = 33
-8 + 6x = 33 + 7x

Solving
-8 + 6x = 33 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-8 + 6x + -7x = 33 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-8 + -1x = 33 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -1x = 33 + 0
-8 + -1x = 33

Add '8' to each side of the equation.
-8 + 8 + -1x = 33 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 33 + 8
-1x = 33 + 8

Combine like terms: 33 + 8 = 41
-1x = 41

Divide each side by '-1'.
x = -41

Simplifying
x = -41

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