4-6(2x-3)+1=3+2(5-x)

Solution for 4-6(2x-3)+1=3+2(5-x) equation:

Simplifying
4 + -6(2x + -3) + 1 = 3 + 2(5 + -1x)

Reorder the terms:
4 + -6(-3 + 2x) + 1 = 3 + 2(5 + -1x)
4 + (-3 * -6 + 2x * -6) + 1 = 3 + 2(5 + -1x)
4 + (18 + -12x) + 1 = 3 + 2(5 + -1x)

Reorder the terms:
4 + 18 + 1 + -12x = 3 + 2(5 + -1x)

Combine like terms: 4 + 18 = 22
22 + 1 + -12x = 3 + 2(5 + -1x)

Combine like terms: 22 + 1 = 23
23 + -12x = 3 + 2(5 + -1x)
23 + -12x = 3 + (5 * 2 + -1x * 2)
23 + -12x = 3 + (10 + -2x)

Combine like terms: 3 + 10 = 13
23 + -12x = 13 + -2x

Solving
23 + -12x = 13 + -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.
23 + -12x + 2x = 13 + -2x + 2x

Combine like terms: -12x + 2x = -10x
23 + -10x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
23 + -10x = 13 + 0
23 + -10x = 13

Add '-23' to each side of the equation.
23 + -23 + -10x = 13 + -23

Combine like terms: 23 + -23 = 0
0 + -10x = 13 + -23
-10x = 13 + -23

Combine like terms: 13 + -23 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1