0.4x+0.12(20)=0.9(x+20)

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Solution for 0.4x+0.12(20)=0.9(x+20) equation: 


Simplifying
0.4x + 0.12(20) = 0.9(x + 20)

Multiply 0.12 * 20
0.4x + 2.4 = 0.9(x + 20)

Reorder the terms:
2.4 + 0.4x = 0.9(x + 20)

Reorder the terms:
2.4 + 0.4x = 0.9(20 + x)
2.4 + 0.4x = (20 * 0.9 + x * 0.9)
2.4 + 0.4x = (18 + 0.9x)

Solving
2.4 + 0.4x = 18 + 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.
2.4 + 0.4x + -0.9x = 18 + 0.9x + -0.9x

Combine like terms: 0.4x + -0.9x = -0.5x
2.4 + -0.5x = 18 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
2.4 + -0.5x = 18 + 0.0
2.4 + -0.5x = 18

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.5x = 18 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.5x = 18 + -2.4
-0.5x = 18 + -2.4

Combine like terms: 18 + -2.4 = 15.6
-0.5x = 15.6

Divide each side by '-0.5'.
x = -31.2

Simplifying
x = -31.2

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