.5(x+4)+.3(x+9)=20

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Solution for .5(x+4)+.3(x+9)=20 equation: 


Simplifying
0.5(x + 4) + 0.3(x + 9) = 20

Reorder the terms:
0.5(4 + x) + 0.3(x + 9) = 20
(4 * 0.5 + x * 0.5) + 0.3(x + 9) = 20
(2 + 0.5x) + 0.3(x + 9) = 20

Reorder the terms:
2 + 0.5x + 0.3(9 + x) = 20
2 + 0.5x + (9 * 0.3 + x * 0.3) = 20
2 + 0.5x + (2.7 + 0.3x) = 20

Reorder the terms:
2 + 2.7 + 0.5x + 0.3x = 20

Combine like terms: 2 + 2.7 = 4.7
4.7 + 0.5x + 0.3x = 20

Combine like terms: 0.5x + 0.3x = 0.8x
4.7 + 0.8x = 20

Solving
4.7 + 0.8x = 20

Solving for variable 'x'.

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

Add '-4.7' to each side of the equation.
4.7 + -4.7 + 0.8x = 20 + -4.7

Combine like terms: 4.7 + -4.7 = 0.0
0.0 + 0.8x = 20 + -4.7
0.8x = 20 + -4.7

Combine like terms: 20 + -4.7 = 15.3
0.8x = 15.3

Divide each side by '0.8'.
x = 19.125

Simplifying
x = 19.125

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