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

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


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

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

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

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

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

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

Reorder the terms:
3 + 3x = 5 + x

Solving
3 + 3x = 5 + x

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.
3 + 3x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
3 + 2x = 5 + 0
3 + 2x = 5

Add '-3' to each side of the equation.
3 + -3 + 2x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 5 + -3
2x = 5 + -3

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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