1.4-1.5(2-x)=6+2.4x

Solution for 1.4-1.5(2-x)=6+2.4x equation:

Simplifying
1.4 + -1.5(2 + -1x) = 6 + 2.4x
1.4 + (2 * -1.5 + -1x * -1.5) = 6 + 2.4x
1.4 + (-3 + 1.5x) = 6 + 2.4x

Combine like terms: 1.4 + -3 = -1.6
-1.6 + 1.5x = 6 + 2.4x

Solving
-1.6 + 1.5x = 6 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
-1.6 + 1.5x + -2.4x = 6 + 2.4x + -2.4x

Combine like terms: 1.5x + -2.4x = -0.9x
-1.6 + -0.9x = 6 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
-1.6 + -0.9x = 6 + 0.0
-1.6 + -0.9x = 6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.9x = 6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.9x = 6 + 1.6
-0.9x = 6 + 1.6

Combine like terms: 6 + 1.6 = 7.6
-0.9x = 7.6

Divide each side by '-0.9'.
x = -8.444444444

Simplifying
x = -8.444444444