12(x-.5)=8(x+.75)

Solution for 12(x-.5)=8(x+.75) equation:

Simplifying
12(x + -0.5) = 8(x + 0.75)

Reorder the terms:
12(-0.5 + x) = 8(x + 0.75)
(-0.5 * 12 + x * 12) = 8(x + 0.75)
(-6 + 12x) = 8(x + 0.75)

Reorder the terms:
-6 + 12x = 8(0.75 + x)
-6 + 12x = (0.75 * 8 + x * 8)
-6 + 12x = (6 + 8x)

Solving
-6 + 12x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 12x + -8x = 6 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-6 + 4x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + 4x = 6 + 0
-6 + 4x = 6

Add '6' to each side of the equation.
-6 + 6 + 4x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 6 + 6
4x = 6 + 6

Combine like terms: 6 + 6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3