Solve x-4/6+2x+8/2=8+4x-7

$$\frac { x - 4 } { 6 } + \frac { 2 x + 8 } { 2 } = 8 + 4 x - 7$$

Solve for x

$$x=\frac{14}{17}\approx 0.823529412$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,2.

$$x-4+3\left(2x+8\right)=48+24x-42$$

Use the distributive property to multiply 3 by 2x+8.

$$x-4+6x+24=48+24x-42$$

Combine x and 6x to get 7x.

$$7x-4+24=48+24x-42$$

Add -4 and 24 to get 20.

$$7x+20=48+24x-42$$

Subtract 42 from 48 to get 6.

$$7x+20=6+24x$$

Subtract 24x from both sides.

$$7x+20-24x=6$$

Combine 7x and -24x to get -17x.

$$-17x+20=6$$

Subtract 20 from both sides.

$$-17x=6-20$$

Subtract 20 from 6 to get -14.

$$-17x=-14$$

Divide both sides by -17.

$$x=\frac{-14}{-17}$$

Fraction \frac{-14}{-17} can be simplified to \frac{14}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{17}$$