3(2x+1)-3x=3(13-x)

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Solution for 3(2x+1)-3x=3(13-x) equation:


Simplifying
3(2x + 1) + -3x = 3(13 + -1x)

Reorder the terms:
3(1 + 2x) + -3x = 3(13 + -1x)
(1 * 3 + 2x * 3) + -3x = 3(13 + -1x)
(3 + 6x) + -3x = 3(13 + -1x)

Combine like terms: 6x + -3x = 3x
3 + 3x = 3(13 + -1x)
3 + 3x = (13 * 3 + -1x * 3)
3 + 3x = (39 + -3x)

Solving
3 + 3x = 39 + -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.
3 + 3x + 3x = 39 + -3x + 3x

Combine like terms: 3x + 3x = 6x
3 + 6x = 39 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 6x = 39 + 0
3 + 6x = 39

Add '-3' to each side of the equation.
3 + -3 + 6x = 39 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 39 + -3
6x = 39 + -3

Combine like terms: 39 + -3 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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