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

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

Simplifying
2(x + 3) + -4x = 3(2 + -1x) + 10

Reorder the terms:
2(3 + x) + -4x = 3(2 + -1x) + 10
(3 * 2 + x * 2) + -4x = 3(2 + -1x) + 10
(6 + 2x) + -4x = 3(2 + -1x) + 10

Combine like terms: 2x + -4x = -2x
6 + -2x = 3(2 + -1x) + 10
6 + -2x = (2 * 3 + -1x * 3) + 10
6 + -2x = (6 + -3x) + 10

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

Combine like terms: 6 + 10 = 16
6 + -2x = 16 + -3x

Solving
6 + -2x = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -2x + 3x = 16 + -3x + 3x

Combine like terms: -2x + 3x = 1x
6 + 1x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 1x = 16 + 0
6 + 1x = 16

Add '-6' to each side of the equation.
6 + -6 + 1x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 16 + -6
1x = 16 + -6

Combine like terms: 16 + -6 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10