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

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

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

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

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

Solving
-6 + 2x = 3 + 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.
-6 + 2x + -3x = 3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-6 + -1x = 3 + 0
-6 + -1x = 3

Add '6' to each side of the equation.
-6 + 6 + -1x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 3 + 6
-1x = 3 + 6

Combine like terms: 3 + 6 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9