3x-15=-x+37

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Solution for 3x-15=-x+37 equation:


Simplifying
3x + -15 = -1x + 37

Reorder the terms:
-15 + 3x = -1x + 37

Reorder the terms:
-15 + 3x = 37 + -1x

Solving
-15 + 3x = 37 + -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.
-15 + 3x + x = 37 + -1x + x

Combine like terms: 3x + x = 4x
-15 + 4x = 37 + -1x + x

Combine like terms: -1x + x = 0
-15 + 4x = 37 + 0
-15 + 4x = 37

Add '15' to each side of the equation.
-15 + 15 + 4x = 37 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 37 + 15
4x = 37 + 15

Combine like terms: 37 + 15 = 52
4x = 52

Divide each side by '4'.
x = 13

Simplifying
x = 13

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