0.5x+0.4(30)=0.3(x+30)

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Solution for 0.5x+0.4(30)=0.3(x+30) equation:


Simplifying
0.5x + 0.4(30) = 0.3(x + 30)

Multiply 0.4 * 30
0.5x + 12 = 0.3(x + 30)

Reorder the terms:
12 + 0.5x = 0.3(x + 30)

Reorder the terms:
12 + 0.5x = 0.3(30 + x)
12 + 0.5x = (30 * 0.3 + x * 0.3)
12 + 0.5x = (9 + 0.3x)

Solving
12 + 0.5x = 9 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
12 + 0.5x + -0.3x = 9 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
12 + 0.2x = 9 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
12 + 0.2x = 9 + 0.0
12 + 0.2x = 9

Add '-12' to each side of the equation.
12 + -12 + 0.2x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 0.2x = 9 + -12
0.2x = 9 + -12

Combine like terms: 9 + -12 = -3
0.2x = -3

Divide each side by '0.2'.
x = -15

Simplifying
x = -15

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