0.3x+0.2(50)=0.1(x+10)

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Solution for 0.3x+0.2(50)=0.1(x+10) equation: 


Simplifying
0.3x + 0.2(50) = 0.1(x + 10)

Multiply 0.2 * 50
0.3x + 10 = 0.1(x + 10)

Reorder the terms:
10 + 0.3x = 0.1(x + 10)

Reorder the terms:
10 + 0.3x = 0.1(10 + x)
10 + 0.3x = (10 * 0.1 + x * 0.1)
10 + 0.3x = (1 + 0.1x)

Solving
10 + 0.3x = 1 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
10 + 0.3x + -0.1x = 1 + 0.1x + -0.1x

Combine like terms: 0.3x + -0.1x = 0.2x
10 + 0.2x = 1 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
10 + 0.2x = 1 + 0.0
10 + 0.2x = 1

Add '-10' to each side of the equation.
10 + -10 + 0.2x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 0.2x = 1 + -10
0.2x = 1 + -10

Combine like terms: 1 + -10 = -9
0.2x = -9

Divide each side by '0.2'.
x = -45

Simplifying
x = -45

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