0.4x+0.5(20)=0.1(x+40)

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Solution for 0.4x+0.5(20)=0.1(x+40) equation:


Simplifying
0.4x + 0.5(20) = 0.1(x + 40)

Multiply 0.5 * 20
0.4x + 10 = 0.1(x + 40)

Reorder the terms:
10 + 0.4x = 0.1(x + 40)

Reorder the terms:
10 + 0.4x = 0.1(40 + x)
10 + 0.4x = (40 * 0.1 + x * 0.1)
10 + 0.4x = (4 + 0.1x)

Solving
10 + 0.4x = 4 + 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 + 0.4x + -0.1x = 4 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
10 + 0.3x = 4 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
10 + 0.3x = 4 + 0.0
10 + 0.3x = 4

Add '-10' to each side of the equation.
10 + -10 + 0.3x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 0.3x = 4 + -10
0.3x = 4 + -10

Combine like terms: 4 + -10 = -6
0.3x = -6

Divide each side by '0.3'.
x = -20

Simplifying
x = -20

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