3x+2=13-x+7

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


Simplifying
3x + 2 = 13 + -1x + 7

Reorder the terms:
2 + 3x = 13 + -1x + 7

Reorder the terms:
2 + 3x = 13 + 7 + -1x

Combine like terms: 13 + 7 = 20
2 + 3x = 20 + -1x

Solving
2 + 3x = 20 + -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.
2 + 3x + x = 20 + -1x + x

Combine like terms: 3x + x = 4x
2 + 4x = 20 + -1x + x

Combine like terms: -1x + x = 0
2 + 4x = 20 + 0
2 + 4x = 20

Add '-2' to each side of the equation.
2 + -2 + 4x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 20 + -2
4x = 20 + -2

Combine like terms: 20 + -2 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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