6x-33=-x+58

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Solution for 6x-33=-x+58 equation:


Simplifying
6x + -33 = -1x + 58

Reorder the terms:
-33 + 6x = -1x + 58

Reorder the terms:
-33 + 6x = 58 + -1x

Solving
-33 + 6x = 58 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-33 + 6x + x = 58 + -1x + x

Combine like terms: 6x + x = 7x
-33 + 7x = 58 + -1x + x

Combine like terms: -1x + x = 0
-33 + 7x = 58 + 0
-33 + 7x = 58

Add '33' to each side of the equation.
-33 + 33 + 7x = 58 + 33

Combine like terms: -33 + 33 = 0
0 + 7x = 58 + 33
7x = 58 + 33

Combine like terms: 58 + 33 = 91
7x = 91

Divide each side by '7'.
x = 13

Simplifying
x = 13

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