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

Answer 1

First distribute the 1/2 to the 3x and the 4 on the left side of the equation and distribute the -6 to the 4/3 and the 8x on the right side.

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

then combine like terms

3x/2 - 6 = 60 - 48x

now gather all the coefficient terms to one side of the equation (the x terms) and the numerical terms to the other side of the equation. So I will move the -6 to the left side of the equation by adding 6 to both sides and I will move the -48x to the right side of the equation by adding 48x to both sides of the equation

3x/2 - 6 + 6 + 48x = 60 - 48x + 48x + 6

Combine like terms to simplify the question

99x/2 = 66

then multiply each side of the equation to move the 2 from the denominator

2 * 99x/2 = 66 * 2

99x = 132

Divide each side by 99 to isolate the x

99x/99 = 132/99

x = 132/99

this simplifies by dividing out 33 in the numerator and the denominator since their greatest common divisor is 33

x = 4/3

Answer 2

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

distribute

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

multiply through by 2

3x + 4 - 16 = 136 - 16 - 96x

combine like terms

3x - 12 = 120 -96 x

add 96x

99x - 12 = 120

add 12

99x = 132. Divide by 99

x = 1.333333333333333333

x = 4/3

Answer 3

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

1.5x + 2 -8 = 68 - 24/3 - 48x

1.5x -6 = 68 - 8 - 48

1.5x -6 = 12

1.5x = 18

x = 12