Solve 2x-1/7-x+6/5=-1

$$\frac { 2 x - 1 } { 7 } - \frac { x + 6 } { 5 } = - 1$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 7,5.

$$5\left(2x-1\right)-7\left(x+6\right)=-35$$

Use the distributive property to multiply 5 by 2x-1.

$$10x-5-7\left(x+6\right)=-35$$

Use the distributive property to multiply -7 by x+6.

$$10x-5-7x-42=-35$$

Combine 10x and -7x to get 3x.

$$3x-5-42=-35$$

Subtract 42 from -5 to get -47.

$$3x-47=-35$$

Add 47 to both sides.

$$3x=-35+47$$

Add -35 and 47 to get 12.

$$3x=12$$

Divide both sides by 3.

$$x=\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$x=4$$