3x-5+1=-2x+7

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Solution for 3x-5+1=-2x+7 equation:


Simplifying
3x + -5 + 1 = -2x + 7

Reorder the terms:
-5 + 1 + 3x = -2x + 7

Combine like terms: -5 + 1 = -4
-4 + 3x = -2x + 7

Reorder the terms:
-4 + 3x = 7 + -2x

Solving
-4 + 3x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = 7 + 0
-4 + 5x = 7

Add '4' to each side of the equation.
-4 + 4 + 5x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 7 + 4
5x = 7 + 4

Combine like terms: 7 + 4 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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