Question

2(4x-3)-8=4+2x

1) What value for x would make the following equation true ? Solve the equation and CHECK the solution.
2) Explain how you determined your answer by writing all the steps that you used to solve the equation.
3) How many solutions does this equation have ? Explain your reasoning.

Answer 1

x = 3

This equation has only one solution. The only number that will make both sides of the equation equal is 3.

Explanation:

2(4x -3) -8 = 4 + 2x Distribute the 2

8x -6 -8 = 4 + 2x Combine like terms

8x -14 = 4 + 2x Subtract 2x from both sides S(Subtraction property of equality)

6x - 14 = 4 Add 14 to both sides (subtraction property of equality)

6x = 18 Divide both sides by 6 (division property of equality)

x = 3

Check:

2[4(3) - 3] - 8 = 4 + 2(3)

2(12 - 3) - 8 = 4 + 6

2(9) - 8 = 10

18 - 8 = 10

10 = 10