0.4x+0.2(50)=0.3(x+40)

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Solution for 0.4x+0.2(50)=0.3(x+40) equation: 


Simplifying
0.4x + 0.2(50) = 0.3(x + 40)

Multiply 0.2 * 50
0.4x + 10 = 0.3(x + 40)

Reorder the terms:
10 + 0.4x = 0.3(x + 40)

Reorder the terms:
10 + 0.4x = 0.3(40 + x)
10 + 0.4x = (40 * 0.3 + x * 0.3)
10 + 0.4x = (12 + 0.3x)

Solving
10 + 0.4x = 12 + 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.
10 + 0.4x + -0.3x = 12 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
10 + 0.1x = 12 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
10 + 0.1x = 12 + 0.0
10 + 0.1x = 12

Add '-10' to each side of the equation.
10 + -10 + 0.1x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 0.1x = 12 + -10
0.1x = 12 + -10

Combine like terms: 12 + -10 = 2
0.1x = 2

Divide each side by '0.1'.
x = 20

Simplifying
x = 20

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