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5\times 3x+4\left(x+10\right)=40
Multiply both sides of the equation by 20, the least common multiple of 4,5.
15x+4\left(x+10\right)=40
Multiply 5 and 3 to get 15.
15x+4x+40=40
Use the distributive property to multiply 4 by x+10.
19x+40=40
Combine 15x and 4x to get 19x.
19x=40-40
Subtract 40 from both sides.
19x=0
Subtract 40 from 40 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 19 is not equal to 0, x must be equal to 0.