0.3(x+20)+0.9(x-10)=21

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Solution for 0.3(x+20)+0.9(x-10)=21 equation: 


Simplifying
0.3(x + 20) + 0.9(x + -10) = 21

Reorder the terms:
0.3(20 + x) + 0.9(x + -10) = 21
(20 * 0.3 + x * 0.3) + 0.9(x + -10) = 21
(6 + 0.3x) + 0.9(x + -10) = 21

Reorder the terms:
6 + 0.3x + 0.9(-10 + x) = 21
6 + 0.3x + (-10 * 0.9 + x * 0.9) = 21
6 + 0.3x + (-9 + 0.9x) = 21

Reorder the terms:
6 + -9 + 0.3x + 0.9x = 21

Combine like terms: 6 + -9 = -3
-3 + 0.3x + 0.9x = 21

Combine like terms: 0.3x + 0.9x = 1.2x
-3 + 1.2x = 21

Solving
-3 + 1.2x = 21

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1.2x = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 1.2x = 21 + 3
1.2x = 21 + 3

Combine like terms: 21 + 3 = 24
1.2x = 24

Divide each side by '1.2'.
x = 20

Simplifying
x = 20

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