0.4x+0.4(20)=0.3(x+30)

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Solution for 0.4x+0.4(20)=0.3(x+30) equation:


Simplifying
0.4x + 0.4(20) = 0.3(x + 30)

Multiply 0.4 * 20
0.4x + 8 = 0.3(x + 30)

Reorder the terms:
8 + 0.4x = 0.3(x + 30)

Reorder the terms:
8 + 0.4x = 0.3(30 + x)
8 + 0.4x = (30 * 0.3 + x * 0.3)
8 + 0.4x = (9 + 0.3x)

Solving
8 + 0.4x = 9 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
8 + 0.4x + -0.3x = 9 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
8 + 0.1x = 9 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
8 + 0.1x = 9 + 0.0
8 + 0.1x = 9

Add '-8' to each side of the equation.
8 + -8 + 0.1x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 0.1x = 9 + -8
0.1x = 9 + -8

Combine like terms: 9 + -8 = 1
0.1x = 1

Divide each side by '0.1'.
x = 10

Simplifying
x = 10

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