Solve 3x-14-2x+7/3=5x-7/2

$$3 x - 14 - \frac { 2 x + 7 } { 3 } = \frac { 5 x - 7 } { 2 }$$

Solve for x

$$x=-77$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$18x-84-2\left(2x+7\right)=3\left(5x-7\right)$$

Use the distributive property to multiply -2 by 2x+7.

$$18x-84-4x-14=3\left(5x-7\right)$$

Combine 18x and -4x to get 14x.

$$14x-84-14=3\left(5x-7\right)$$

Subtract 14 from -84 to get -98.

$$14x-98=3\left(5x-7\right)$$

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

$$14x-98=15x-21$$

Subtract 15x from both sides.

$$14x-98-15x=-21$$

Combine 14x and -15x to get -x.

$$-x-98=-21$$

Add 98 to both sides.

$$-x=-21+98$$

Add -21 and 98 to get 77.

$$-x=77$$

Multiply both sides by -1.

$$x=-77$$