7x+2(3-2x)=4(x+2)-(x-6)

Solution for 7x+2(3-2x)=4(x+2)-(x-6) equation:

Simplifying
7x + 2(3 + -2x) = 4(x + 2) + -1(x + -6)
7x + (3 * 2 + -2x * 2) = 4(x + 2) + -1(x + -6)
7x + (6 + -4x) = 4(x + 2) + -1(x + -6)

Reorder the terms:
6 + 7x + -4x = 4(x + 2) + -1(x + -6)

Combine like terms: 7x + -4x = 3x
6 + 3x = 4(x + 2) + -1(x + -6)

Reorder the terms:
6 + 3x = 4(2 + x) + -1(x + -6)
6 + 3x = (2 * 4 + x * 4) + -1(x + -6)
6 + 3x = (8 + 4x) + -1(x + -6)

Reorder the terms:
6 + 3x = 8 + 4x + -1(-6 + x)
6 + 3x = 8 + 4x + (-6 * -1 + x * -1)
6 + 3x = 8 + 4x + (6 + -1x)

Reorder the terms:
6 + 3x = 8 + 6 + 4x + -1x

Combine like terms: 8 + 6 = 14
6 + 3x = 14 + 4x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = 14 + 3x

Add '-3x' to each side of the equation.
6 + 3x + -3x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 0 = 14 + 3x + -3x
6 = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 = 14 + 0
6 = 14

Solving
6 = 14

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.