0.6(8x+16)=1.5-(x-2)

Solution for 0.6(8x+16)=1.5-(x-2) equation:

Simplifying
0.6(8x + 16) = 1.5 + -1(x + -2)

Reorder the terms:
0.6(16 + 8x) = 1.5 + -1(x + -2)
(16 * 0.6 + 8x * 0.6) = 1.5 + -1(x + -2)
(9.6 + 4.8x) = 1.5 + -1(x + -2)

Reorder the terms:
9.6 + 4.8x = 1.5 + -1(-2 + x)
9.6 + 4.8x = 1.5 + (-2 * -1 + x * -1)
9.6 + 4.8x = 1.5 + (2 + -1x)

Combine like terms: 1.5 + 2 = 3.5
9.6 + 4.8x = 3.5 + -1x

Solving
9.6 + 4.8x = 3.5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9.6 + 4.8x + x = 3.5 + -1x + x

Combine like terms: 4.8x + x = 5.8x
9.6 + 5.8x = 3.5 + -1x + x

Combine like terms: -1x + x = 0
9.6 + 5.8x = 3.5 + 0
9.6 + 5.8x = 3.5

Add '-9.6' to each side of the equation.
9.6 + -9.6 + 5.8x = 3.5 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + 5.8x = 3.5 + -9.6
5.8x = 3.5 + -9.6

Combine like terms: 3.5 + -9.6 = -6.1
5.8x = -6.1

Divide each side by '5.8'.
x = -1.051724138

Simplifying
x = -1.051724138