.40x+.45(8)=.44(x+8)

Solution for .40x+.45(8)=.44(x+8) equation:

Simplifying
0.40x + 0.45(8) = 0.44(x + 8)

Multiply 0.45 * 8
0.40x + 3.6 = 0.44(x + 8)

Reorder the terms:
3.6 + 0.40x = 0.44(x + 8)

Reorder the terms:
3.6 + 0.40x = 0.44(8 + x)
3.6 + 0.40x = (8 * 0.44 + x * 0.44)
3.6 + 0.40x = (3.52 + 0.44x)

Solving
3.6 + 0.40x = 3.52 + 0.44x

Solving for variable 'x'.

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

Add '-0.44x' to each side of the equation.
3.6 + 0.40x + -0.44x = 3.52 + 0.44x + -0.44x

Combine like terms: 0.40x + -0.44x = -0.04x
3.6 + -0.04x = 3.52 + 0.44x + -0.44x

Combine like terms: 0.44x + -0.44x = 0.00
3.6 + -0.04x = 3.52 + 0.00
3.6 + -0.04x = 3.52

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.04x = 3.52 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.04x = 3.52 + -3.6
-0.04x = 3.52 + -3.6

Combine like terms: 3.52 + -3.6 = -0.08
-0.04x = -0.08

Divide each side by '-0.04'.
x = 2

Simplifying
x = 2