Question 869655
Solve for x to get



7.5(x - 2) = -0.5x + 33 ... Start with the given equation.



7.5(x)+7.5(-2) = -0.5x + 33 ...  Distribute.



7.5x-15 = -0.5x + 33 ... Multiply.



7.5x = -0.5x + 33+15 ... Add 15 to both sides.



7.5x+0.5x = 33+15 ... Add 0.5x to both sides.



8x = 48 ... Combine like terms.



x = 48/8 ... Divide both sides by 8 to isolate x.



x = <font color="red">6</font> ... Divide to get the final answer.



I recommend checking the answer. You do so by plugging it back into the original equation. You should get the same value on both sides (making a true equation)