4x+6(-1+8x)=-7(-4x-6)

Solution for 4x+6(-1+8x)=-7(-4x-6) equation:

Simplifying
4x + 6(-1 + 8x) = -7(-4x + -6)
4x + (-1 * 6 + 8x * 6) = -7(-4x + -6)
4x + (-6 + 48x) = -7(-4x + -6)

Reorder the terms:
-6 + 4x + 48x = -7(-4x + -6)

Combine like terms: 4x + 48x = 52x
-6 + 52x = -7(-4x + -6)

Reorder the terms:
-6 + 52x = -7(-6 + -4x)
-6 + 52x = (-6 * -7 + -4x * -7)
-6 + 52x = (42 + 28x)

Solving
-6 + 52x = 42 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-6 + 52x + -28x = 42 + 28x + -28x

Combine like terms: 52x + -28x = 24x
-6 + 24x = 42 + 28x + -28x

Combine like terms: 28x + -28x = 0
-6 + 24x = 42 + 0
-6 + 24x = 42

Add '6' to each side of the equation.
-6 + 6 + 24x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 24x = 42 + 6
24x = 42 + 6

Combine like terms: 42 + 6 = 48
24x = 48

Divide each side by '24'.
x = 2

Simplifying
x = 2