Question

Elba and Jorge each make an error in the first two steps of solving the equation. 1/2(3x+4)-8=68-6(4/3+8x) Determine the error each student made. Then, solve the equation.

Answer 1

x = 4 / 3 or 1.333 (Approx)

Explanation:

Equation:

1/2(3x+4)-8=68-6(4/3+8x)

3x/2 + 4/2 - 8 = 68 - 24/3 - 48x

3x/2 + 2 - 8 = 68 - 8 - 48x

3x/2 + 48x = 66

By taking LCM

3x + 96x = 132

99x = 132

x = 132 / 99

x = 44 / 33

x = 4 / 3 or 1.333 (Approx)