3x-13=-x+15

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Solution for 3x-13=-x+15 equation:


Simplifying
3x + -13 = -1x + 15

Reorder the terms:
-13 + 3x = -1x + 15

Reorder the terms:
-13 + 3x = 15 + -1x

Solving
-13 + 3x = 15 + -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.
-13 + 3x + x = 15 + -1x + x

Combine like terms: 3x + x = 4x
-13 + 4x = 15 + -1x + x

Combine like terms: -1x + x = 0
-13 + 4x = 15 + 0
-13 + 4x = 15

Add '13' to each side of the equation.
-13 + 13 + 4x = 15 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 15 + 13
4x = 15 + 13

Combine like terms: 15 + 13 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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