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

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

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

Reorder the terms:
4(-1 + 2x) + -2(z + 6) = 3(z + -1)
(-1 * 4 + 2x * 4) + -2(z + 6) = 3(z + -1)
(-4 + 8x) + -2(z + 6) = 3(z + -1)

Reorder the terms:
-4 + 8x + -2(6 + z) = 3(z + -1)
-4 + 8x + (6 * -2 + z * -2) = 3(z + -1)
-4 + 8x + (-12 + -2z) = 3(z + -1)

Reorder the terms:
-4 + -12 + 8x + -2z = 3(z + -1)

Combine like terms: -4 + -12 = -16
-16 + 8x + -2z = 3(z + -1)

Reorder the terms:
-16 + 8x + -2z = 3(-1 + z)
-16 + 8x + -2z = (-1 * 3 + z * 3)
-16 + 8x + -2z = (-3 + 3z)

Solving
-16 + 8x + -2z = -3 + 3z

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 8x + 16 + -2z = -3 + 16 + 3z

Reorder the terms:
-16 + 16 + 8x + -2z = -3 + 16 + 3z

Combine like terms: -16 + 16 = 0
0 + 8x + -2z = -3 + 16 + 3z
8x + -2z = -3 + 16 + 3z

Combine like terms: -3 + 16 = 13
8x + -2z = 13 + 3z

Add '2z' to each side of the equation.
8x + -2z + 2z = 13 + 3z + 2z

Combine like terms: -2z + 2z = 0
8x + 0 = 13 + 3z + 2z
8x = 13 + 3z + 2z

Combine like terms: 3z + 2z = 5z
8x = 13 + 5z

Divide each side by '8'.
x = 1.625 + 0.625z

Simplifying
x = 1.625 + 0.625z