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

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


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

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

Combine like terms: 3x + 2x = 5x
-2 + 5x = 3(3x + -3) + 5

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

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

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

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

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

Combine like terms: 9x + -9x = 0
-2 + -4x = -4 + 0
-2 + -4x = -4

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

Combine like terms: -2 + 2 = 0
0 + -4x = -4 + 2
-4x = -4 + 2

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

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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