(2x-2)+37=7x+2

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Solution for (2x-2)+37=7x+2 equation:


Simplifying
(2x + -2) + 37 = 7x + 2

Reorder the terms:
(-2 + 2x) + 37 = 7x + 2

Remove parenthesis around (-2 + 2x)
-2 + 2x + 37 = 7x + 2

Reorder the terms:
-2 + 37 + 2x = 7x + 2

Combine like terms: -2 + 37 = 35
35 + 2x = 7x + 2

Reorder the terms:
35 + 2x = 2 + 7x

Solving
35 + 2x = 2 + 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.
35 + 2x + -7x = 2 + 7x + -7x

Combine like terms: 2x + -7x = -5x
35 + -5x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
35 + -5x = 2 + 0
35 + -5x = 2

Add '-35' to each side of the equation.
35 + -35 + -5x = 2 + -35

Combine like terms: 35 + -35 = 0
0 + -5x = 2 + -35
-5x = 2 + -35

Combine like terms: 2 + -35 = -33
-5x = -33

Divide each side by '-5'.
x = 6.6

Simplifying
x = 6.6

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