45х+160-8х=-120-3х+20

To solve this equation, we first need to simplify both sides by combining like terms.

On the left side, we have 45x - 8x, which equals 37x. So, the left side becomes: 37x + 160

On the right side, we have -3x, so the right side remains as -120 - 3x + 20

Now our equation looks like this: 37x + 160 = -120 - 3x + 20

Next, we can simplify this equation by moving all the x terms to one side:

Add 3x to both sides:

37x + 3x + 160 = -120 - 3x + 3x + 20 40x + 160 = -100

Subtract 160 from both sides:

40x + 160 - 160 = -100 - 160 40x = -260

Now, divide by 40 on both sides to solve for x:

x = -260 / 40 x = -6.5

Therefore, the solution to the equation is x = -6.5.