5(2x+3)=9(x+2)

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Solution for 5(2x+3)=9(x+2) equation:


Simplifying
5(2x + 3) = 9(x + 2)

Reorder the terms:
5(3 + 2x) = 9(x + 2)
(3 * 5 + 2x * 5) = 9(x + 2)
(15 + 10x) = 9(x + 2)

Reorder the terms:
15 + 10x = 9(2 + x)
15 + 10x = (2 * 9 + x * 9)
15 + 10x = (18 + 9x)

Solving
15 + 10x = 18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 10x + -9x = 18 + 9x + -9x

Combine like terms: 10x + -9x = 1x
15 + 1x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + 1x = 18 + 0
15 + 1x = 18

Add '-15' to each side of the equation.
15 + -15 + 1x = 18 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 18 + -15
1x = 18 + -15

Combine like terms: 18 + -15 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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