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

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


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

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

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

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

Combine like terms: 6x + x = 7x
-5 + 7x = 3 + -1(x + -2)

Reorder the terms:
-5 + 7x = 3 + -1(-2 + x)
-5 + 7x = 3 + (-2 * -1 + x * -1)
-5 + 7x = 3 + (2 + -1x)

Combine like terms: 3 + 2 = 5
-5 + 7x = 5 + -1x

Solving
-5 + 7x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 7x + x = 5 + -1x + x

Combine like terms: 7x + x = 8x
-5 + 8x = 5 + -1x + x

Combine like terms: -1x + x = 0
-5 + 8x = 5 + 0
-5 + 8x = 5

Add '5' to each side of the equation.
-5 + 5 + 8x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 5 + 5
8x = 5 + 5

Combine like terms: 5 + 5 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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