To solve the linear equation 5(10-4x)=8x-x+4, we will simplify and then solve for x.

First, distribute the 5 on the left side of the equation: 50 - 20x = 8x - x + 4

Combine like terms on the right side: 50 - 20x = 7x + 4

Next, move all the x terms to one side of the equation by subtracting 7x from both sides: 50 - 20x - 7x = 4

Combine like terms on the left side: 50 - 27x = 4

Now, isolate the variable x by subtracting 50 from both sides: -27x = 4 - 50 -27x = -46

Finally, solve for x by dividing both sides by -27: x = -46 / -27 x ≈ 1.704

To verify the answer, substitute x = 1.704 back into the original equation: 5(10-4(1.704)) = 8(1.704) - 1.704 + 4

Simplifying the equation: 5(10 - 6.816) = 13.632 - 1.704 + 4 5(3.184) = 11.928

Calculating the left side: 15.92 ≈ 11.928

Calculating the right side: 11.928 ≈ 11.928

Since both sides of the equation are approximately equal, the solution x = 1.704 is verified.