0.1(50)+0.5x=0.3(50+x)

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Solution for 0.1(50)+0.5x=0.3(50+x) equation: 


Simplifying
0.1(50) + 0.5x = 0.3(50 + x)

Multiply 0.1 * 50
5 + 0.5x = 0.3(50 + x)
5 + 0.5x = (50 * 0.3 + x * 0.3)
5 + 0.5x = (15 + 0.3x)

Solving
5 + 0.5x = 15 + 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.
5 + 0.5x + -0.3x = 15 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
5 + 0.2x = 15 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
5 + 0.2x = 15 + 0.0
5 + 0.2x = 15

Add '-5' to each side of the equation.
5 + -5 + 0.2x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 0.2x = 15 + -5
0.2x = 15 + -5

Combine like terms: 15 + -5 = 10
0.2x = 10

Divide each side by '0.2'.
x = 50

Simplifying
x = 50

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