6-2(x+3)+4=3+3x-10-4x

Solution for 6-2(x+3)+4=3+3x-10-4x equation:

Simplifying
6 + -2(x + 3) + 4 = 3 + 3x + -10 + -4x

Reorder the terms:
6 + -2(3 + x) + 4 = 3 + 3x + -10 + -4x
6 + (3 * -2 + x * -2) + 4 = 3 + 3x + -10 + -4x
6 + (-6 + -2x) + 4 = 3 + 3x + -10 + -4x

Reorder the terms:
6 + -6 + 4 + -2x = 3 + 3x + -10 + -4x

Combine like terms: 6 + -6 = 0
0 + 4 + -2x = 3 + 3x + -10 + -4x
4 + -2x = 3 + 3x + -10 + -4x

Reorder the terms:
4 + -2x = 3 + -10 + 3x + -4x

Combine like terms: 3 + -10 = -7
4 + -2x = -7 + 3x + -4x

Combine like terms: 3x + -4x = -1x
4 + -2x = -7 + -1x

Solving
4 + -2x = -7 + -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.
4 + -2x + x = -7 + -1x + x

Combine like terms: -2x + x = -1x
4 + -1x = -7 + -1x + x

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

Add '-4' to each side of the equation.
4 + -4 + -1x = -7 + -4

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

Combine like terms: -7 + -4 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11