2(3x-4)+3=(3x-1)-2(x-3)

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Solution for 2(3x-4)+3=(3x-1)-2(x-3) equation:


Simplifying
2(3x + -4) + 3 = (3x + -1) + -2(x + -3)

Reorder the terms:
2(-4 + 3x) + 3 = (3x + -1) + -2(x + -3)
(-4 * 2 + 3x * 2) + 3 = (3x + -1) + -2(x + -3)
(-8 + 6x) + 3 = (3x + -1) + -2(x + -3)

Reorder the terms:
-8 + 3 + 6x = (3x + -1) + -2(x + -3)

Combine like terms: -8 + 3 = -5
-5 + 6x = (3x + -1) + -2(x + -3)

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

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

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

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

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

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

Solving
-5 + 6x = 5 + 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.
-5 + 6x + -1x = 5 + 1x + -1x

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

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

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

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

Combine like terms: 5 + 5 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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