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

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


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

Reorder the terms:
3(-3 + 2x) + 3 = (3x + -1) + -2(x + -5)
(-3 * 3 + 2x * 3) + 3 = (3x + -1) + -2(x + -5)
(-9 + 6x) + 3 = (3x + -1) + -2(x + -5)

Reorder the terms:
-9 + 3 + 6x = (3x + -1) + -2(x + -5)

Combine like terms: -9 + 3 = -6
-6 + 6x = (3x + -1) + -2(x + -5)

Reorder the terms:
-6 + 6x = (-1 + 3x) + -2(x + -5)

Remove parenthesis around (-1 + 3x)
-6 + 6x = -1 + 3x + -2(x + -5)

Reorder the terms:
-6 + 6x = -1 + 3x + -2(-5 + x)
-6 + 6x = -1 + 3x + (-5 * -2 + x * -2)
-6 + 6x = -1 + 3x + (10 + -2x)

Reorder the terms:
-6 + 6x = -1 + 10 + 3x + -2x

Combine like terms: -1 + 10 = 9
-6 + 6x = 9 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-6 + 6x = 9 + 1x

Solving
-6 + 6x = 9 + 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.
-6 + 6x + -1x = 9 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-6 + 5x = 9 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 5x = 9 + 0
-6 + 5x = 9

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

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

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

Divide each side by '5'.
x = 3

Simplifying
x = 3

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