-.17(x-18)+6(.5)(x+2)=6(x+8)

Solution for -.17(x-18)+6(.5)(x+2)=6(x+8) equation:

Simplifying
-0.17(x + -18) + 6(0.5)(x + 2) = 6(x + 8)

Reorder the terms:
-0.17(-18 + x) + 6(0.5)(x + 2) = 6(x + 8)
(-18 * -0.17 + x * -0.17) + 6(0.5)(x + 2) = 6(x + 8)
(3.06 + -0.17x) + 6(0.5)(x + 2) = 6(x + 8)

Reorder the terms:
3.06 + -0.17x + 6 * 0.5(2 + x) = 6(x + 8)

Multiply 6 * 0.5
3.06 + -0.17x + 3(2 + x) = 6(x + 8)
3.06 + -0.17x + (2 * 3 + x * 3) = 6(x + 8)
3.06 + -0.17x + (6 + 3x) = 6(x + 8)

Reorder the terms:
3.06 + 6 + -0.17x + 3x = 6(x + 8)

Combine like terms: 3.06 + 6 = 9.06
9.06 + -0.17x + 3x = 6(x + 8)

Combine like terms: -0.17x + 3x = 2.83x
9.06 + 2.83x = 6(x + 8)

Reorder the terms:
9.06 + 2.83x = 6(8 + x)
9.06 + 2.83x = (8 * 6 + x * 6)
9.06 + 2.83x = (48 + 6x)

Solving
9.06 + 2.83x = 48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9.06 + 2.83x + -6x = 48 + 6x + -6x

Combine like terms: 2.83x + -6x = -3.17x
9.06 + -3.17x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
9.06 + -3.17x = 48 + 0
9.06 + -3.17x = 48

Add '-9.06' to each side of the equation.
9.06 + -9.06 + -3.17x = 48 + -9.06

Combine like terms: 9.06 + -9.06 = 0.00
0.00 + -3.17x = 48 + -9.06
-3.17x = 48 + -9.06

Combine like terms: 48 + -9.06 = 38.94
-3.17x = 38.94

Divide each side by '-3.17'.
x = -12.28391167

Simplifying
x = -12.28391167