0.8x-0.3(14-2x)=-0.7(x-6)

Solution for 0.8x-0.3(14-2x)=-0.7(x-6) equation:

Simplifying
0.8x + -0.3(14 + -2x) = -0.7(x + -6)
0.8x + (14 * -0.3 + -2x * -0.3) = -0.7(x + -6)
0.8x + (-4.2 + 0.6x) = -0.7(x + -6)

Reorder the terms:
-4.2 + 0.8x + 0.6x = -0.7(x + -6)

Combine like terms: 0.8x + 0.6x = 1.4x
-4.2 + 1.4x = -0.7(x + -6)

Reorder the terms:
-4.2 + 1.4x = -0.7(-6 + x)
-4.2 + 1.4x = (-6 * -0.7 + x * -0.7)
-4.2 + 1.4x = (4.2 + -0.7x)

Solving
-4.2 + 1.4x = 4.2 + -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.
-4.2 + 1.4x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: 1.4x + 0.7x = 2.1x
-4.2 + 2.1x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-4.2 + 2.1x = 4.2 + 0.0
-4.2 + 2.1x = 4.2

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 2.1x = 4.2 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 2.1x = 4.2 + 4.2
2.1x = 4.2 + 4.2

Combine like terms: 4.2 + 4.2 = 8.4
2.1x = 8.4

Divide each side by '2.1'.
x = 4

Simplifying
x = 4