Solve 4x+5/2+x-2/8=4+6x-2/8

$$\frac { 4 x + 5 } { 2 } + \frac { x - 2 } { 8 } = 4 + \frac { 6 x - 2 } { 8 }$$

Solve for x

$$x = \frac{12}{11} = 1\frac{1}{11} \approx 1.090909091$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$4\left(4x+5\right)+x-2=32+6x-2$$

Use the distributive property to multiply 4 by 4x+5.

$$16x+20+x-2=32+6x-2$$

Combine 16x and x to get 17x.

$$17x+20-2=32+6x-2$$

Subtract 2 from 20 to get 18.

$$17x+18=32+6x-2$$

Subtract 2 from 32 to get 30.

$$17x+18=30+6x$$

Subtract 6x from both sides.

$$17x+18-6x=30$$

Combine 17x and -6x to get 11x.

$$11x+18=30$$

Subtract 18 from both sides.

$$11x=30-18$$

Subtract 18 from 30 to get 12.

$$11x=12$$

Divide both sides by 11.

$$x=\frac{12}{11}$$