Solve -7-5x/2=13+5x/6

$$\frac { - 7 - 5 x } { 2 } = \frac { 13 + 5 x } { 6 }$$

Solve for x

$$x = -\frac{17}{10} = -1\frac{7}{10} = -1.7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\left(-7-5x\right)=13+5x$$

Use the distributive property to multiply 3 by -7-5x.

$$-21-15x=13+5x$$

Subtract 5x from both sides.

$$-21-15x-5x=13$$

Combine -15x and -5x to get -20x.

$$-21-20x=13$$

Add 21 to both sides.

$$-20x=13+21$$

Add 13 and 21 to get 34.

$$-20x=34$$

Divide both sides by -20.

$$x=\frac{34}{-20}$$

Reduce the fraction \frac{34}{-20} to lowest terms by extracting and canceling out 2.

$$x=-\frac{17}{10}$$