0.6(2.625x+0.5)=-2(0.143-0.18x)

Solution for 0.6(2.625x+0.5)=-2(0.143-0.18x) equation:

Simplifying
0.6(2.625x + 0.5) = -2(0.143 + -0.18x)

Reorder the terms:
0.6(0.5 + 2.625x) = -2(0.143 + -0.18x)
(0.5 * 0.6 + 2.625x * 0.6) = -2(0.143 + -0.18x)
(0.3 + 1.575x) = -2(0.143 + -0.18x)
0.3 + 1.575x = (0.143 * -2 + -0.18x * -2)
0.3 + 1.575x = (-0.286 + 0.36x)

Solving
0.3 + 1.575x = -0.286 + 0.36x

Solving for variable 'x'.

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

Add '-0.36x' to each side of the equation.
0.3 + 1.575x + -0.36x = -0.286 + 0.36x + -0.36x

Combine like terms: 1.575x + -0.36x = 1.215x
0.3 + 1.215x = -0.286 + 0.36x + -0.36x

Combine like terms: 0.36x + -0.36x = 0.00
0.3 + 1.215x = -0.286 + 0.00
0.3 + 1.215x = -0.286

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 1.215x = -0.286 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 1.215x = -0.286 + -0.3
1.215x = -0.286 + -0.3

Combine like terms: -0.286 + -0.3 = -0.586
1.215x = -0.586

Divide each side by '1.215'.
x = -0.4823045267

Simplifying
x = -0.4823045267