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

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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + 2x + 3x = 3(x + 1)
2x + 3x = 3(x + 1)

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

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

Solving
5x = 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.
5x + -3x = 3 + 3x + -3x

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5