.24(100+x)=.3(100)+.2x

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Solution for .24(100+x)=.3(100)+.2x equation:


Simplifying
0.24(100 + x) = 0.3(100) + 0.2x
(100 * 0.24 + x * 0.24) = 0.3(100) + 0.2x
(24 + 0.24x) = 0.3(100) + 0.2x

Multiply 0.3 * 100
24 + 0.24x = 30 + 0.2x

Solving
24 + 0.24x = 30 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
24 + 0.24x + -0.2x = 30 + 0.2x + -0.2x

Combine like terms: 0.24x + -0.2x = 0.04x
24 + 0.04x = 30 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
24 + 0.04x = 30 + 0.0
24 + 0.04x = 30

Add '-24' to each side of the equation.
24 + -24 + 0.04x = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 0.04x = 30 + -24
0.04x = 30 + -24

Combine like terms: 30 + -24 = 6
0.04x = 6

Divide each side by '0.04'.
x = 150

Simplifying
x = 150

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