5(x+6)=2x+9

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Solution for 5(x+6)=2x+9 equation:


Simplifying
5(x + 6) = 2x + 9

Reorder the terms:
5(6 + x) = 2x + 9
(6 * 5 + x * 5) = 2x + 9
(30 + 5x) = 2x + 9

Reorder the terms:
30 + 5x = 9 + 2x

Solving
30 + 5x = 9 + 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.
30 + 5x + -2x = 9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
30 + 3x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 3x = 9 + 0
30 + 3x = 9

Add '-30' to each side of the equation.
30 + -30 + 3x = 9 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = 9 + -30
3x = 9 + -30

Combine like terms: 9 + -30 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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