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

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


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

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

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

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

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

Solving
-2 + 1x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 1x + 3x = 4 + -3x + 3x

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

Combine like terms: -3x + 3x = 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 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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