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

Solution for 2(3-4x)=1-(x+2) equation:

Simplifying
2(3 + -4x) = 1 + -1(x + 2)
(3 * 2 + -4x * 2) = 1 + -1(x + 2)
(6 + -8x) = 1 + -1(x + 2)

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

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

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

Combine like terms: -8x + x = -7x
6 + -7x = -1 + -1x + x

Combine like terms: -1x + x = 0
6 + -7x = -1 + 0
6 + -7x = -1

Add '-6' to each side of the equation.
6 + -6 + -7x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -1 + -6
-7x = -1 + -6

Combine like terms: -1 + -6 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1