5+2x-x-2=10-3x+9

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Solution for 5+2x-x-2=10-3x+9 equation:


Simplifying
5 + 2x + -1x + -2 = 10 + -3x + 9

Reorder the terms:
5 + -2 + 2x + -1x = 10 + -3x + 9

Combine like terms: 5 + -2 = 3
3 + 2x + -1x = 10 + -3x + 9

Combine like terms: 2x + -1x = 1x
3 + 1x = 10 + -3x + 9

Reorder the terms:
3 + 1x = 10 + 9 + -3x

Combine like terms: 10 + 9 = 19
3 + 1x = 19 + -3x

Solving
3 + 1x = 19 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
3 + 1x + 3x = 19 + -3x + 3x

Combine like terms: 1x + 3x = 4x
3 + 4x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 4x = 19 + 0
3 + 4x = 19

Add '-3' to each side of the equation.
3 + -3 + 4x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 19 + -3
4x = 19 + -3

Combine like terms: 19 + -3 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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