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

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

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

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

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

Combine like terms: 2x + -3x = -1x
2(-3 + -1x) = 4(5 + -1x)
(-3 * 2 + -1x * 2) = 4(5 + -1x)
(-6 + -2x) = 4(5 + -1x)
-6 + -2x = (5 * 4 + -1x * 4)
-6 + -2x = (20 + -4x)

Solving
-6 + -2x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + -2x + 4x = 20 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-6 + 2x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 2x = 20 + 0
-6 + 2x = 20

Add '6' to each side of the equation.
-6 + 6 + 2x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 20 + 6
2x = 20 + 6

Combine like terms: 20 + 6 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13