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

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


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

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

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

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

Combine like terms: -2 + 2 = 0
0 + 6x + -1x = 5
6x + -1x = 5

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

Solving
5x = 5

Solving for variable 'x'.

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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