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

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

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

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

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

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

Remove parenthesis around (3 + -1x)
-6 + 1x = 5 + 3 + -1x

Combine like terms: 5 + 3 = 8
-6 + 1x = 8 + -1x

Solving
-6 + 1x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 1x + x = 8 + -1x + x

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

Combine like terms: -1x + x = 0
-6 + 2x = 8 + 0
-6 + 2x = 8

Add '6' to each side of the equation.
-6 + 6 + 2x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 8 + 6
2x = 8 + 6

Combine like terms: 8 + 6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7