0.4x+0.4(10)=.2(x+40)

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Solution for 0.4x+0.4(10)=.2(x+40) equation: 


Simplifying
0.4x + 0.4(10) = 0.2(x + 40)

Multiply 0.4 * 10
0.4x + 4 = 0.2(x + 40)

Reorder the terms:
4 + 0.4x = 0.2(x + 40)

Reorder the terms:
4 + 0.4x = 0.2(40 + x)
4 + 0.4x = (40 * 0.2 + x * 0.2)
4 + 0.4x = (8 + 0.2x)

Solving
4 + 0.4x = 8 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
4 + 0.4x + -0.2x = 8 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
4 + 0.2x = 8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
4 + 0.2x = 8 + 0.0
4 + 0.2x = 8

Add '-4' to each side of the equation.
4 + -4 + 0.2x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 0.2x = 8 + -4
0.2x = 8 + -4

Combine like terms: 8 + -4 = 4
0.2x = 4

Divide each side by '0.2'.
x = 20

Simplifying
x = 20

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