0.6x-0.3(20-5x)=-0.8(x-7)

Solution for 0.6x-0.3(20-5x)=-0.8(x-7) equation:

Simplifying
0.6x + -0.3(20 + -5x) = -0.8(x + -7)
0.6x + (20 * -0.3 + -5x * -0.3) = -0.8(x + -7)
0.6x + (-6 + 1.5x) = -0.8(x + -7)

Reorder the terms:
-6 + 0.6x + 1.5x = -0.8(x + -7)

Combine like terms: 0.6x + 1.5x = 2.1x
-6 + 2.1x = -0.8(x + -7)

Reorder the terms:
-6 + 2.1x = -0.8(-7 + x)
-6 + 2.1x = (-7 * -0.8 + x * -0.8)
-6 + 2.1x = (5.6 + -0.8x)

Solving
-6 + 2.1x = 5.6 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-6 + 2.1x + 0.8x = 5.6 + -0.8x + 0.8x

Combine like terms: 2.1x + 0.8x = 2.9x
-6 + 2.9x = 5.6 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-6 + 2.9x = 5.6 + 0.0
-6 + 2.9x = 5.6

Add '6' to each side of the equation.
-6 + 6 + 2.9x = 5.6 + 6

Combine like terms: -6 + 6 = 0
0 + 2.9x = 5.6 + 6
2.9x = 5.6 + 6

Combine like terms: 5.6 + 6 = 11.6
2.9x = 11.6

Divide each side by '2.9'.
x = 4

Simplifying
x = 4