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

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


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

Reorder the terms:
-3(-2 + 3x) + 5(x + -3) = 2x + 5
(-2 * -3 + 3x * -3) + 5(x + -3) = 2x + 5
(6 + -9x) + 5(x + -3) = 2x + 5

Reorder the terms:
6 + -9x + 5(-3 + x) = 2x + 5
6 + -9x + (-3 * 5 + x * 5) = 2x + 5
6 + -9x + (-15 + 5x) = 2x + 5

Reorder the terms:
6 + -15 + -9x + 5x = 2x + 5

Combine like terms: 6 + -15 = -9
-9 + -9x + 5x = 2x + 5

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

Reorder the terms:
-9 + -4x = 5 + 2x

Solving
-9 + -4x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + -4x + -2x = 5 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-9 + -6x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + -6x = 5 + 0
-9 + -6x = 5

Add '9' to each side of the equation.
-9 + 9 + -6x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + -6x = 5 + 9
-6x = 5 + 9

Combine like terms: 5 + 9 = 14
-6x = 14

Divide each side by '-6'.
x = -2.333333333

Simplifying
x = -2.333333333

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