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

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

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

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

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

Solving
6 + -5x = 1 + -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.
6 + -5x + 6x = 1 + -6x + 6x

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

Combine like terms: -6x + 6x = 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