0.9x-0.4(14-3x)=-0.7(x-8)

Solution for 0.9x-0.4(14-3x)=-0.7(x-8) equation:

Simplifying
0.9x + -0.4(14 + -3x) = -0.7(x + -8)
0.9x + (14 * -0.4 + -3x * -0.4) = -0.7(x + -8)
0.9x + (-5.6 + 1.2x) = -0.7(x + -8)

Reorder the terms:
-5.6 + 0.9x + 1.2x = -0.7(x + -8)

Combine like terms: 0.9x + 1.2x = 2.1x
-5.6 + 2.1x = -0.7(x + -8)

Reorder the terms:
-5.6 + 2.1x = -0.7(-8 + x)
-5.6 + 2.1x = (-8 * -0.7 + x * -0.7)
-5.6 + 2.1x = (5.6 + -0.7x)

Solving
-5.6 + 2.1x = 5.6 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-5.6 + 2.1x + 0.7x = 5.6 + -0.7x + 0.7x

Combine like terms: 2.1x + 0.7x = 2.8x
-5.6 + 2.8x = 5.6 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-5.6 + 2.8x = 5.6 + 0.0
-5.6 + 2.8x = 5.6

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 2.8x = 5.6 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 2.8x = 5.6 + 5.6
2.8x = 5.6 + 5.6

Combine like terms: 5.6 + 5.6 = 11.2
2.8x = 11.2

Divide each side by '2.8'.
x = 4

Simplifying
x = 4