Solve 3x-8-3x/4+2=5x-16

$$3 x - 8 - \frac { 3 x } { 4 } + 2 = 5 x - 16$$

Solve for x

$$x = \frac{40}{11} = 3\frac{7}{11} \approx 3.636363636$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$12x-32-3x+8=20x-64$$

Combine 12x and -3x to get 9x.

$$9x-32+8=20x-64$$

Add -32 and 8 to get -24.

$$9x-24=20x-64$$

Subtract 20x from both sides.

$$9x-24-20x=-64$$

Combine 9x and -20x to get -11x.

$$-11x-24=-64$$

Add 24 to both sides.

$$-11x=-64+24$$

Add -64 and 24 to get -40.

$$-11x=-40$$

Divide both sides by -11.

$$x=\frac{-40}{-11}$$

Fraction \frac{-40}{-11} can be simplified to \frac{40}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{40}{11}$$