.4x+.4(10)=.1(x+40)

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Solution for .4x+.4(10)=.1(x+40) equation:


Simplifying
0.4x + 0.4(10) = 0.1(x + 40)

Multiply 0.4 * 10
0.4x + 4 = 0.1(x + 40)

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

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

Add '-4' to each side of the equation.
4 + -4 + 0.4x = 4 + -4 + 0.1x

Combine like terms: 4 + -4 = 0
0 + 0.4x = 4 + -4 + 0.1x
0.4x = 4 + -4 + 0.1x

Combine like terms: 4 + -4 = 0
0.4x = 0 + 0.1x
0.4x = 0.1x

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

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

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

Divide each side by '0.3'.
x = 0

Simplifying
x = 0

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