Solve 2x-5/4=x+1/6=

$$\frac { 2 x - 5 } { 4 } = \frac { x + 1 } { 6 } =$$

Solve for x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(2x-5\right)=2\left(x+1\right)$$

Use the distributive property to multiply 3 by 2x-5.

$$6x-15=2\left(x+1\right)$$

Use the distributive property to multiply 2 by x+1.

$$6x-15=2x+2$$

Subtract 2x from both sides.

$$6x-15-2x=2$$

Combine 6x and -2x to get 4x.

$$4x-15=2$$

Add 15 to both sides.

$$4x=2+15$$

Add 2 and 15 to get 17.

$$4x=17$$

Divide both sides by 4.

$$x=\frac{17}{4}$$