.4(30)+.8x=.6(30+x)

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Solution for .4(30)+.8x=.6(30+x) equation:


Simplifying
0.4(30) + 0.8x = 0.6(30 + x)

Multiply 0.4 * 30
12 + 0.8x = 0.6(30 + x)
12 + 0.8x = (30 * 0.6 + x * 0.6)
12 + 0.8x = (18 + 0.6x)

Solving
12 + 0.8x = 18 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
12 + 0.8x + -0.6x = 18 + 0.6x + -0.6x

Combine like terms: 0.8x + -0.6x = 0.2x
12 + 0.2x = 18 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
12 + 0.2x = 18 + 0.0
12 + 0.2x = 18

Add '-12' to each side of the equation.
12 + -12 + 0.2x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 0.2x = 18 + -12
0.2x = 18 + -12

Combine like terms: 18 + -12 = 6
0.2x = 6

Divide each side by '0.2'.
x = 30

Simplifying
x = 30

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