Solve 10=2x-3/3x+2

$$10= \frac{ 2x-3 }{ 3x+2 }$$

Solve for x

$$x=-\frac{23}{28}\approx -0.821428571$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{2}{3} since division by zero is not defined. Multiply both sides of the equation by 3x+2.

$$10\left(3x+2\right)=2x-3$$

Use the distributive property to multiply 10 by 3x+2.

$$30x+20=2x-3$$

Subtract 2x from both sides.

$$30x+20-2x=-3$$

Combine 30x and -2x to get 28x.

$$28x+20=-3$$

Subtract 20 from both sides.

$$28x=-3-20$$

Subtract 20 from -3 to get -23.

$$28x=-23$$

Divide both sides by 28.

$$x=\frac{-23}{28}$$

Fraction \frac{-23}{28} can be rewritten as -\frac{23}{28} by extracting the negative sign.

$$x=-\frac{23}{28}$$