(3x-2)-7=5x+2

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Solution for (3x-2)-7=5x+2 equation:


Simplifying
(3x + -2) + -7 = 5x + 2

Reorder the terms:
(-2 + 3x) + -7 = 5x + 2

Remove parenthesis around (-2 + 3x)
-2 + 3x + -7 = 5x + 2

Reorder the terms:
-2 + -7 + 3x = 5x + 2

Combine like terms: -2 + -7 = -9
-9 + 3x = 5x + 2

Reorder the terms:
-9 + 3x = 2 + 5x

Solving
-9 + 3x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 3x + -5x = 2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-9 + -2x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -2x = 2 + 0
-9 + -2x = 2

Add '9' to each side of the equation.
-9 + 9 + -2x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 2 + 9
-2x = 2 + 9

Combine like terms: 2 + 9 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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