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

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


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

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

Reorder the terms:
-9 + 3x + 2(2 + x) = 9x + -15
-9 + 3x + (2 * 2 + x * 2) = 9x + -15
-9 + 3x + (4 + 2x) = 9x + -15

Reorder the terms:
-9 + 4 + 3x + 2x = 9x + -15

Combine like terms: -9 + 4 = -5
-5 + 3x + 2x = 9x + -15

Combine like terms: 3x + 2x = 5x
-5 + 5x = 9x + -15

Reorder the terms:
-5 + 5x = -15 + 9x

Solving
-5 + 5x = -15 + 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.
-5 + 5x + -9x = -15 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-5 + -4x = -15 + 0
-5 + -4x = -15

Add '5' to each side of the equation.
-5 + 5 + -4x = -15 + 5

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

Combine like terms: -15 + 5 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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