0.7x-0.4(3-2x)=0.9(x-4)

Solution for 0.7x-0.4(3-2x)=0.9(x-4) equation:

Simplifying
0.7x + -0.4(3 + -2x) = 0.9(x + -4)
0.7x + (3 * -0.4 + -2x * -0.4) = 0.9(x + -4)
0.7x + (-1.2 + 0.8x) = 0.9(x + -4)

Reorder the terms:
-1.2 + 0.7x + 0.8x = 0.9(x + -4)

Combine like terms: 0.7x + 0.8x = 1.5x
-1.2 + 1.5x = 0.9(x + -4)

Reorder the terms:
-1.2 + 1.5x = 0.9(-4 + x)
-1.2 + 1.5x = (-4 * 0.9 + x * 0.9)
-1.2 + 1.5x = (-3.6 + 0.9x)

Solving
-1.2 + 1.5x = -3.6 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
-1.2 + 1.5x + -0.9x = -3.6 + 0.9x + -0.9x

Combine like terms: 1.5x + -0.9x = 0.6x
-1.2 + 0.6x = -3.6 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
-1.2 + 0.6x = -3.6 + 0.0
-1.2 + 0.6x = -3.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.6x = -3.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.6x = -3.6 + 1.2
0.6x = -3.6 + 1.2

Combine like terms: -3.6 + 1.2 = -2.4
0.6x = -2.4

Divide each side by '0.6'.
x = -4

Simplifying
x = -4