7x+2-3x=21-2x+13

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Solution for 7x+2-3x=21-2x+13 equation: 


Simplifying
7x + 2 + -3x = 21 + -2x + 13

Reorder the terms:
2 + 7x + -3x = 21 + -2x + 13

Combine like terms: 7x + -3x = 4x
2 + 4x = 21 + -2x + 13

Reorder the terms:
2 + 4x = 21 + 13 + -2x

Combine like terms: 21 + 13 = 34
2 + 4x = 34 + -2x

Solving
2 + 4x = 34 + -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.
2 + 4x + 2x = 34 + -2x + 2x

Combine like terms: 4x + 2x = 6x
2 + 6x = 34 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 6x = 34 + 0
2 + 6x = 34

Add '-2' to each side of the equation.
2 + -2 + 6x = 34 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 34 + -2
6x = 34 + -2

Combine like terms: 34 + -2 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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