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0.5x+12=0.4\left(x+30\right)
Multiply 0.3 and 40 to get 12.
0.5x+12=0.4x+12
Use the distributive property to multiply 0.4 by x+30.
0.5x+12-0.4x=12
Subtract 0.4x from both sides.
0.1x+12=12
Combine 0.5x and -0.4x to get 0.1x.
0.1x=12-12
Subtract 12 from both sides.
0.1x=0
Subtract 12 from 12 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 0.1 is not equal to 0, x must be equal to 0.