0.1(30)+0.5x=0.3(30+x)

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Solution for 0.1(30)+0.5x=0.3(30+x) equation:


Simplifying
0.1(30) + 0.5x = 0.3(30 + x)

Multiply 0.1 * 30
3 + 0.5x = 0.3(30 + x)
3 + 0.5x = (30 * 0.3 + x * 0.3)
3 + 0.5x = (9 + 0.3x)

Solving
3 + 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.
3 + 0.5x + -0.3x = 9 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
3 + 0.2x = 9 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
3 + 0.2x = 9 + 0.0
3 + 0.2x = 9

Add '-3' to each side of the equation.
3 + -3 + 0.2x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 0.2x = 9 + -3
0.2x = 9 + -3

Combine like terms: 9 + -3 = 6
0.2x = 6

Divide each side by '0.2'.
x = 30

Simplifying
x = 30

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