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

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


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

Reorder the terms:
9(-2 + x) = x + 3(x + 5)
(-2 * 9 + x * 9) = x + 3(x + 5)
(-18 + 9x) = x + 3(x + 5)

Reorder the terms:
-18 + 9x = x + 3(5 + x)
-18 + 9x = x + (5 * 3 + x * 3)
-18 + 9x = x + (15 + 3x)

Reorder the terms:
-18 + 9x = 15 + x + 3x

Combine like terms: x + 3x = 4x
-18 + 9x = 15 + 4x

Solving
-18 + 9x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + 9x + -4x = 15 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-18 + 5x = 15 + 0
-18 + 5x = 15

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

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

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

Divide each side by '5'.
x = 6.6

Simplifying
x = 6.6

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