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

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

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

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

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

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

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

Combine like terms: 6x + 2x = 8x
3 + 8x = 3(x + -2) + -2(x + -1)

Reorder the terms:
3 + 8x = 3(-2 + x) + -2(x + -1)
3 + 8x = (-2 * 3 + x * 3) + -2(x + -1)
3 + 8x = (-6 + 3x) + -2(x + -1)

Reorder the terms:
3 + 8x = -6 + 3x + -2(-1 + x)
3 + 8x = -6 + 3x + (-1 * -2 + x * -2)
3 + 8x = -6 + 3x + (2 + -2x)

Reorder the terms:
3 + 8x = -6 + 2 + 3x + -2x

Combine like terms: -6 + 2 = -4
3 + 8x = -4 + 3x + -2x

Combine like terms: 3x + -2x = 1x
3 + 8x = -4 + 1x

Solving
3 + 8x = -4 + 1x

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 + 8x + -1x = -4 + 1x + -1x

Combine like terms: 8x + -1x = 7x
3 + 7x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + 7x = -4 + 0
3 + 7x = -4

Add '-3' to each side of the equation.
3 + -3 + 7x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = -4 + -3
7x = -4 + -3

Combine like terms: -4 + -3 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1