4(x-1)-(x-7)=-2(x-4)+6

Solution for 4(x-1)-(x-7)=-2(x-4)+6 equation:

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

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

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

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

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

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

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

Reorder the terms:
3 + 3x = 8 + 6 + -2x

Combine like terms: 8 + 6 = 14
3 + 3x = 14 + -2x

Solving
3 + 3x = 14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 3x + 2x = 14 + -2x + 2x

Combine like terms: 3x + 2x = 5x
3 + 5x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 5x = 14 + 0
3 + 5x = 14

Add '-3' to each side of the equation.
3 + -3 + 5x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 14 + -3
5x = 14 + -3

Combine like terms: 14 + -3 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2