3x-5=-2x+12

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Solution for 3x-5=-2x+12 equation:


Simplifying
3x + -5 = -2x + 12

Reorder the terms:
-5 + 3x = -2x + 12

Reorder the terms:
-5 + 3x = 12 + -2x

Solving
-5 + 3x = 12 + -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.
-5 + 3x + 2x = 12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-5 + 5x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 5x = 12 + 0
-5 + 5x = 12

Add '5' to each side of the equation.
-5 + 5 + 5x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 12 + 5
5x = 12 + 5

Combine like terms: 12 + 5 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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