2x+10=11-3x+9

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Solution for 2x+10=11-3x+9 equation:


Simplifying
2x + 10 = 11 + -3x + 9

Reorder the terms:
10 + 2x = 11 + -3x + 9

Reorder the terms:
10 + 2x = 11 + 9 + -3x

Combine like terms: 11 + 9 = 20
10 + 2x = 20 + -3x

Solving
10 + 2x = 20 + -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.
10 + 2x + 3x = 20 + -3x + 3x

Combine like terms: 2x + 3x = 5x
10 + 5x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 5x = 20 + 0
10 + 5x = 20

Add '-10' to each side of the equation.
10 + -10 + 5x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 20 + -10
5x = 20 + -10

Combine like terms: 20 + -10 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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