0.3x+0.2(10)=0.1(x+30)

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Solution for 0.3x+0.2(10)=0.1(x+30) equation:


Simplifying
0.3x + 0.2(10) = 0.1(x + 30)

Multiply 0.2 * 10
0.3x + 2 = 0.1(x + 30)

Reorder the terms:
2 + 0.3x = 0.1(x + 30)

Reorder the terms:
2 + 0.3x = 0.1(30 + x)
2 + 0.3x = (30 * 0.1 + x * 0.1)
2 + 0.3x = (3 + 0.1x)

Solving
2 + 0.3x = 3 + 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.
2 + 0.3x + -0.1x = 3 + 0.1x + -0.1x

Combine like terms: 0.3x + -0.1x = 0.2x
2 + 0.2x = 3 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
2 + 0.2x = 3 + 0.0
2 + 0.2x = 3

Add '-2' to each side of the equation.
2 + -2 + 0.2x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 0.2x = 3 + -2
0.2x = 3 + -2

Combine like terms: 3 + -2 = 1
0.2x = 1

Divide each side by '0.2'.
x = 5

Simplifying
x = 5

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