.4x+.5(10)=0.1(x+20)

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Solution for .4x+.5(10)=0.1(x+20) equation:


Simplifying
0.4x + 0.5(10) = 0.1(x + 20)

Multiply 0.5 * 10
0.4x + 5 = 0.1(x + 20)

Reorder the terms:
5 + 0.4x = 0.1(x + 20)

Reorder the terms:
5 + 0.4x = 0.1(20 + x)
5 + 0.4x = (20 * 0.1 + x * 0.1)
5 + 0.4x = (2 + 0.1x)

Solving
5 + 0.4x = 2 + 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.
5 + 0.4x + -0.1x = 2 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
5 + 0.3x = 2 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
5 + 0.3x = 2 + 0.0
5 + 0.3x = 2

Add '-5' to each side of the equation.
5 + -5 + 0.3x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 0.3x = 2 + -5
0.3x = 2 + -5

Combine like terms: 2 + -5 = -3
0.3x = -3

Divide each side by '0.3'.
x = -10

Simplifying
x = -10

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