5x+11+2x+10=3x+9

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Solution for 5x+11+2x+10=3x+9 equation:


Simplifying
5x + 11 + 2x + 10 = 3x + 9

Reorder the terms:
11 + 10 + 5x + 2x = 3x + 9

Combine like terms: 11 + 10 = 21
21 + 5x + 2x = 3x + 9

Combine like terms: 5x + 2x = 7x
21 + 7x = 3x + 9

Reorder the terms:
21 + 7x = 9 + 3x

Solving
21 + 7x = 9 + 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.
21 + 7x + -3x = 9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
21 + 4x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + 4x = 9 + 0
21 + 4x = 9

Add '-21' to each side of the equation.
21 + -21 + 4x = 9 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = 9 + -21
4x = 9 + -21

Combine like terms: 9 + -21 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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