.5x+.2(50)=.3(x+10)

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Solution for .5x+.2(50)=.3(x+10) equation: 


Simplifying
0.5x + 0.2(50) = 0.3(x + 10)

Multiply 0.2 * 50
0.5x + 10 = 0.3(x + 10)

Reorder the terms:
10 + 0.5x = 0.3(x + 10)

Reorder the terms:
10 + 0.5x = 0.3(10 + x)
10 + 0.5x = (10 * 0.3 + x * 0.3)
10 + 0.5x = (3 + 0.3x)

Solving
10 + 0.5x = 3 + 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.
10 + 0.5x + -0.3x = 3 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
10 + 0.2x = 3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
10 + 0.2x = 3 + 0.0
10 + 0.2x = 3

Add '-10' to each side of the equation.
10 + -10 + 0.2x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 0.2x = 3 + -10
0.2x = 3 + -10

Combine like terms: 3 + -10 = -7
0.2x = -7

Divide each side by '0.2'.
x = -35

Simplifying
x = -35

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