0.5x+0.5(20)=0.3(x+20)

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Solution for 0.5x+0.5(20)=0.3(x+20) equation: 


Simplifying
0.5x + 0.5(20) = 0.3(x + 20)

Multiply 0.5 * 20
0.5x + 10 = 0.3(x + 20)

Reorder the terms:
10 + 0.5x = 0.3(x + 20)

Reorder the terms:
10 + 0.5x = 0.3(20 + x)
10 + 0.5x = (20 * 0.3 + x * 0.3)
10 + 0.5x = (6 + 0.3x)

Solving
10 + 0.5x = 6 + 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 = 6 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
10 + 0.2x = 6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
10 + 0.2x = 6 + 0.0
10 + 0.2x = 6

Add '-10' to each side of the equation.
10 + -10 + 0.2x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 0.2x = 6 + -10
0.2x = 6 + -10

Combine like terms: 6 + -10 = -4
0.2x = -4

Divide each side by '0.2'.
x = -20

Simplifying
x = -20

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