Question

Solve the equation 0.6(4−2x)=20.5−(3x÷10). Check your solution. Enter your answer as an integer or decimal.

a) x=3.4
b) x=2.1
c) x=−1.5
d) x=4.8

Answer 1

To solve the equation 0.6(4−2x)=20.5−(3x÷10), distribute and combine like terms, then isolate the variable x by performing algebraic operations. The solution is x = 3.4. To check the solution, substitute x = 3.4 back into the original equation and verify that both sides are equal.

Step-by-step explanation:

To solve 0.6(4−2x)=20.5−(3x÷10), we can distribute the 0.6 on the left side of the equation to get 2.4 - 1.2x = 20.5 - (0.3x). Then, we can combine like terms by adding 1.2x to both sides of the equation to get 2.4 = 20.5 - (0.3x) + 1.2x. Next, we simplify the right side of the equation by combining the x terms and subtracting 20.5 from both sides to get 2.4 = 0.9x - 20.5. Finally, we add 20.5 to both sides of the equation and divide by 0.9 to solve for x: x = 3.4. To check our solution, we substitute x = 3.4 back into the original equation and see if both sides are equal.