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

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


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

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

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

Combine like terms: x + 3x = 4x
15 + 4x = 9(x + -2)

Reorder the terms:
15 + 4x = 9(-2 + x)
15 + 4x = (-2 * 9 + x * 9)
15 + 4x = (-18 + 9x)

Solving
15 + 4x = -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 + 4x + -9x = -18 + 9x + -9x

Combine like terms: 4x + -9x = -5x
15 + -5x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -5x = -18 + 0
15 + -5x = -18

Add '-15' to each side of the equation.
15 + -15 + -5x = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -18 + -15
-5x = -18 + -15

Combine like terms: -18 + -15 = -33
-5x = -33

Divide each side by '-5'.
x = 6.6

Simplifying
x = 6.6

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