2x+6=11-3x+10

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Solution for 2x+6=11-3x+10 equation:


Simplifying
2x + 6 = 11 + -3x + 10

Reorder the terms:
6 + 2x = 11 + -3x + 10

Reorder the terms:
6 + 2x = 11 + 10 + -3x

Combine like terms: 11 + 10 = 21
6 + 2x = 21 + -3x

Solving
6 + 2x = 21 + -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.
6 + 2x + 3x = 21 + -3x + 3x

Combine like terms: 2x + 3x = 5x
6 + 5x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 5x = 21 + 0
6 + 5x = 21

Add '-6' to each side of the equation.
6 + -6 + 5x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 21 + -6
5x = 21 + -6

Combine like terms: 21 + -6 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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