3x-13=-2x+7

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Solution for 3x-13=-2x+7 equation:


Simplifying
3x + -13 = -2x + 7

Reorder the terms:
-13 + 3x = -2x + 7

Reorder the terms:
-13 + 3x = 7 + -2x

Solving
-13 + 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.
-13 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-13 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-13 + 5x = 7 + 0
-13 + 5x = 7

Add '13' to each side of the equation.
-13 + 13 + 5x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 7 + 13
5x = 7 + 13

Combine like terms: 7 + 13 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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