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

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

Solve for x

$$x = \frac{29}{4} = 7\frac{1}{4} = 7.25$$

Steps for Solving Linear Equation

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

$$3\left(2x-5\right)-2\left(1+x\right)=12$$

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

$$6x-15-2\left(1+x\right)=12$$

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

$$6x-15-2-2x=12$$

Subtract 2 from -15 to get -17.

$$6x-17-2x=12$$

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

$$4x-17=12$$

Add 17 to both sides.

$$4x=12+17$$

Add 12 and 17 to get 29.

$$4x=29$$

Divide both sides by 4.

$$x=\frac{29}{4}$$