6+3x=5(x-1)-3(x-2)

Solution for 6+3x=5(x-1)-3(x-2) equation:

Simplifying
6 + 3x = 5(x + -1) + -3(x + -2)

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

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

Reorder the terms:
6 + 3x = -5 + 6 + 5x + -3x

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

Combine like terms: 5x + -3x = 2x
6 + 3x = 1 + 2x

Solving
6 + 3x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 3x + -2x = 1 + 2x + -2x

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

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

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

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

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

Divide each side by '1'.
x = -5

Simplifying
x = -5