0.4(-4+6x)=0.33x+0.66(x+9)

Solution for 0.4(-4+6x)=0.33x+0.66(x+9) equation:

Simplifying
0.4(-4 + 6x) = 0.33x + 0.66(x + 9)
(-4 * 0.4 + 6x * 0.4) = 0.33x + 0.66(x + 9)
(-1.6 + 2.4x) = 0.33x + 0.66(x + 9)

Reorder the terms:
-1.6 + 2.4x = 0.33x + 0.66(9 + x)
-1.6 + 2.4x = 0.33x + (9 * 0.66 + x * 0.66)
-1.6 + 2.4x = 0.33x + (5.94 + 0.66x)

Reorder the terms:
-1.6 + 2.4x = 5.94 + 0.33x + 0.66x

Combine like terms: 0.33x + 0.66x = 0.99x
-1.6 + 2.4x = 5.94 + 0.99x

Solving
-1.6 + 2.4x = 5.94 + 0.99x

Solving for variable 'x'.

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

Add '-0.99x' to each side of the equation.
-1.6 + 2.4x + -0.99x = 5.94 + 0.99x + -0.99x

Combine like terms: 2.4x + -0.99x = 1.41x
-1.6 + 1.41x = 5.94 + 0.99x + -0.99x

Combine like terms: 0.99x + -0.99x = 0.00
-1.6 + 1.41x = 5.94 + 0.00
-1.6 + 1.41x = 5.94

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1.41x = 5.94 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1.41x = 5.94 + 1.6
1.41x = 5.94 + 1.6

Combine like terms: 5.94 + 1.6 = 7.54
1.41x = 7.54

Divide each side by '1.41'.
x = 5.34751773

Simplifying
x = 5.34751773