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

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

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

Reorder the terms:
6 + -4(3 + 4x) = 2(x + -1)
6 + (3 * -4 + 4x * -4) = 2(x + -1)
6 + (-12 + -16x) = 2(x + -1)

Combine like terms: 6 + -12 = -6
-6 + -16x = 2(x + -1)

Reorder the terms:
-6 + -16x = 2(-1 + x)
-6 + -16x = (-1 * 2 + x * 2)
-6 + -16x = (-2 + 2x)

Solving
-6 + -16x = -2 + 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.
-6 + -16x + -2x = -2 + 2x + -2x

Combine like terms: -16x + -2x = -18x
-6 + -18x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -18x = -2 + 0
-6 + -18x = -2

Add '6' to each side of the equation.
-6 + 6 + -18x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = -2 + 6
-18x = -2 + 6

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

Divide each side by '-18'.
x = -0.2222222222

Simplifying
x = -0.2222222222