Solve x+2/7-x-1/4=x-5

$$\frac{ x+2 }{ 7 } - \frac{ x-1 }{ 4 } =x-5$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28, the least common multiple of 7,4.

$$4\left(x+2\right)-7\left(x-1\right)=28x-140$$

Use the distributive property to multiply 4 by x+2.

$$4x+8-7\left(x-1\right)=28x-140$$

Use the distributive property to multiply -7 by x-1.

$$4x+8-7x+7=28x-140$$

Combine 4x and -7x to get -3x.

$$-3x+8+7=28x-140$$

Add 8 and 7 to get 15.

$$-3x+15=28x-140$$

Subtract 28x from both sides.

$$-3x+15-28x=-140$$

Combine -3x and -28x to get -31x.

$$-31x+15=-140$$

Subtract 15 from both sides.

$$-31x=-140-15$$

Subtract 15 from -140 to get -155.

$$-31x=-155$$

Divide both sides by -31.

$$x=\frac{-155}{-31}$$

Divide -155 by -31 to get 5.

$$x=5$$