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

Solution for 4(7x-1)=3(2x+2)-4(x+6) equation:

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

Reorder the terms:
4(-1 + 7x) = 3(2x + 2) + -4(x + 6)
(-1 * 4 + 7x * 4) = 3(2x + 2) + -4(x + 6)
(-4 + 28x) = 3(2x + 2) + -4(x + 6)

Reorder the terms:
-4 + 28x = 3(2 + 2x) + -4(x + 6)
-4 + 28x = (2 * 3 + 2x * 3) + -4(x + 6)
-4 + 28x = (6 + 6x) + -4(x + 6)

Reorder the terms:
-4 + 28x = 6 + 6x + -4(6 + x)
-4 + 28x = 6 + 6x + (6 * -4 + x * -4)
-4 + 28x = 6 + 6x + (-24 + -4x)

Reorder the terms:
-4 + 28x = 6 + -24 + 6x + -4x

Combine like terms: 6 + -24 = -18
-4 + 28x = -18 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-4 + 28x = -18 + 2x

Solving
-4 + 28x = -18 + 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.
-4 + 28x + -2x = -18 + 2x + -2x

Combine like terms: 28x + -2x = 26x
-4 + 26x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 26x = -18 + 0
-4 + 26x = -18

Add '4' to each side of the equation.
-4 + 4 + 26x = -18 + 4

Combine like terms: -4 + 4 = 0
0 + 26x = -18 + 4
26x = -18 + 4

Combine like terms: -18 + 4 = -14
26x = -14

Divide each side by '26'.
x = -0.5384615385

Simplifying
x = -0.5384615385