15x+3(x+9)=9(x+2)

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Solution for 15x+3(x+9)=9(x+2) equation:


Simplifying
15x + 3(x + 9) = 9(x + 2)

Reorder the terms:
15x + 3(9 + x) = 9(x + 2)
15x + (9 * 3 + x * 3) = 9(x + 2)
15x + (27 + 3x) = 9(x + 2)

Reorder the terms:
27 + 15x + 3x = 9(x + 2)

Combine like terms: 15x + 3x = 18x
27 + 18x = 9(x + 2)

Reorder the terms:
27 + 18x = 9(2 + x)
27 + 18x = (2 * 9 + x * 9)
27 + 18x = (18 + 9x)

Solving
27 + 18x = 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.
27 + 18x + -9x = 18 + 9x + -9x

Combine like terms: 18x + -9x = 9x
27 + 9x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
27 + 9x = 18 + 0
27 + 9x = 18

Add '-27' to each side of the equation.
27 + -27 + 9x = 18 + -27

Combine like terms: 27 + -27 = 0
0 + 9x = 18 + -27
9x = 18 + -27

Combine like terms: 18 + -27 = -9
9x = -9

Divide each side by '9'.
x = -1

Simplifying
x = -1

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