0.3(x+30)+0.9(x-10)=24

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Solution for 0.3(x+30)+0.9(x-10)=24 equation:


Simplifying
0.3(x + 30) + 0.9(x + -10) = 24

Reorder the terms:
0.3(30 + x) + 0.9(x + -10) = 24
(30 * 0.3 + x * 0.3) + 0.9(x + -10) = 24
(9 + 0.3x) + 0.9(x + -10) = 24

Reorder the terms:
9 + 0.3x + 0.9(-10 + x) = 24
9 + 0.3x + (-10 * 0.9 + x * 0.9) = 24
9 + 0.3x + (-9 + 0.9x) = 24

Reorder the terms:
9 + -9 + 0.3x + 0.9x = 24

Combine like terms: 9 + -9 = 0
0 + 0.3x + 0.9x = 24
0.3x + 0.9x = 24

Combine like terms: 0.3x + 0.9x = 1.2x
1.2x = 24

Solving
1.2x = 24

Solving for variable 'x'.

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

Divide each side by '1.2'.
x = 20

Simplifying
x = 20

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