3(3x-5)+2=(3x-1)-2(x-2)

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Solution for 3(3x-5)+2=(3x-1)-2(x-2) equation:


Simplifying
3(3x + -5) + 2 = (3x + -1) + -2(x + -2)

Reorder the terms:
3(-5 + 3x) + 2 = (3x + -1) + -2(x + -2)
(-5 * 3 + 3x * 3) + 2 = (3x + -1) + -2(x + -2)
(-15 + 9x) + 2 = (3x + -1) + -2(x + -2)

Reorder the terms:
-15 + 2 + 9x = (3x + -1) + -2(x + -2)

Combine like terms: -15 + 2 = -13
-13 + 9x = (3x + -1) + -2(x + -2)

Reorder the terms:
-13 + 9x = (-1 + 3x) + -2(x + -2)

Remove parenthesis around (-1 + 3x)
-13 + 9x = -1 + 3x + -2(x + -2)

Reorder the terms:
-13 + 9x = -1 + 3x + -2(-2 + x)
-13 + 9x = -1 + 3x + (-2 * -2 + x * -2)
-13 + 9x = -1 + 3x + (4 + -2x)

Reorder the terms:
-13 + 9x = -1 + 4 + 3x + -2x

Combine like terms: -1 + 4 = 3
-13 + 9x = 3 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-13 + 9x = 3 + 1x

Solving
-13 + 9x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13 + 9x + -1x = 3 + 1x + -1x

Combine like terms: 9x + -1x = 8x
-13 + 8x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-13 + 8x = 3 + 0
-13 + 8x = 3

Add '13' to each side of the equation.
-13 + 13 + 8x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 3 + 13
8x = 3 + 13

Combine like terms: 3 + 13 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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