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

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


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

Multiply 0.3 * 30
9 + 0.5x = 0.4(30 + x)
9 + 0.5x = (30 * 0.4 + x * 0.4)
9 + 0.5x = (12 + 0.4x)

Solving
9 + 0.5x = 12 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
9 + 0.5x + -0.4x = 12 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
9 + 0.1x = 12 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
9 + 0.1x = 12 + 0.0
9 + 0.1x = 12

Add '-9' to each side of the equation.
9 + -9 + 0.1x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 0.1x = 12 + -9
0.1x = 12 + -9

Combine like terms: 12 + -9 = 3
0.1x = 3

Divide each side by '0.1'.
x = 30

Simplifying
x = 30

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