3(x-3)+2x+9=2x-2(x-1)

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Solution for 3(x-3)+2x+9=2x-2(x-1) equation:


Simplifying
3(x + -3) + 2x + 9 = 2x + -2(x + -1)

Reorder the terms:
3(-3 + x) + 2x + 9 = 2x + -2(x + -1)
(-3 * 3 + x * 3) + 2x + 9 = 2x + -2(x + -1)
(-9 + 3x) + 2x + 9 = 2x + -2(x + -1)

Reorder the terms:
-9 + 9 + 3x + 2x = 2x + -2(x + -1)

Combine like terms: -9 + 9 = 0
0 + 3x + 2x = 2x + -2(x + -1)
3x + 2x = 2x + -2(x + -1)

Combine like terms: 3x + 2x = 5x
5x = 2x + -2(x + -1)

Reorder the terms:
5x = 2x + -2(-1 + x)
5x = 2x + (-1 * -2 + x * -2)
5x = 2x + (2 + -2x)

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

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

Solving
5x = 2

Solving for variable 'x'.

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

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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