Solve 3/2x+7=5/3(x-2)

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

Solve for x

$$x=-53$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -\frac{7}{2},2 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-2\right)\left(2x+7\right), the least common multiple of 2x+7,3\left(x-2\right).

$$\left(3x-6\right)\times 3=\left(2x+7\right)\times 5$$

Use the distributive property to multiply 3x-6 by 3.

$$9x-18=\left(2x+7\right)\times 5$$

Use the distributive property to multiply 2x+7 by 5.

$$9x-18=10x+35$$

Subtract 10x from both sides.

$$9x-18-10x=35$$

Combine 9x and -10x to get -x.

$$-x-18=35$$

Add 18 to both sides.

$$-x=35+18$$

Add 35 and 18 to get 53.

$$-x=53$$

Multiply both sides by -1.

$$x=-53$$