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

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

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

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

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

Combine like terms: -6 + 2 = -4
-4 + 3x + 2x = 3(2x + -1)

Combine like terms: 3x + 2x = 5x
-4 + 5x = 3(2x + -1)

Reorder the terms:
-4 + 5x = 3(-1 + 2x)
-4 + 5x = (-1 * 3 + 2x * 3)
-4 + 5x = (-3 + 6x)

Solving
-4 + 5x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 5x + -6x = -3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-4 + -1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -1x = -3 + 0
-4 + -1x = -3

Add '4' to each side of the equation.
-4 + 4 + -1x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -3 + 4
-1x = -3 + 4

Combine like terms: -3 + 4 = 1
-1x = 1

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

Simplifying
x = -1