.4x+.3(40)=.1(x+30)

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Solution for .4x+.3(40)=.1(x+30) equation:


Simplifying
0.4x + 0.3(40) = 0.1(x + 30)

Multiply 0.3 * 40
0.4x + 12 = 0.1(x + 30)

Reorder the terms:
12 + 0.4x = 0.1(x + 30)

Reorder the terms:
12 + 0.4x = 0.1(30 + x)
12 + 0.4x = (30 * 0.1 + x * 0.1)
12 + 0.4x = (3 + 0.1x)

Solving
12 + 0.4x = 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.
12 + 0.4x + -0.1x = 3 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
12 + 0.3x = 3 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
12 + 0.3x = 3 + 0.0
12 + 0.3x = 3

Add '-12' to each side of the equation.
12 + -12 + 0.3x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 0.3x = 3 + -12
0.3x = 3 + -12

Combine like terms: 3 + -12 = -9
0.3x = -9

Divide each side by '0.3'.
x = -30

Simplifying
x = -30

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