Solve 4x/3x+5=8x-5/6x

$$\frac { 4 x } { 3 x + 5 } = \frac { 8 x - 5 } { 6 x }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -\frac{5}{3},0 since division by zero is not defined. Multiply both sides of the equation by 6x\left(3x+5\right), the least common multiple of 3x+5,6x.

$$6x\times 4x=\left(3x+5\right)\left(8x-5\right)$$

Multiply 6 and 4 to get 24.

$$24xx=\left(3x+5\right)\left(8x-5\right)$$

Multiply x and x to get x^{2}.

$$24x^{2}=\left(3x+5\right)\left(8x-5\right)$$

Use the distributive property to multiply 3x+5 by 8x-5 and combine like terms.

$$24x^{2}=24x^{2}+25x-25$$

Subtract 24x^{2} from both sides.

$$24x^{2}-24x^{2}=25x-25$$

Combine 24x^{2} and -24x^{2} to get 0.

$$0=25x-25$$

Swap sides so that all variable terms are on the left hand side.

$$25x-25=0$$

Add 25 to both sides. Anything plus zero gives itself.

$$25x=25$$

Divide both sides by 25.

$$x=\frac{25}{25}$$

Divide 25 by 25 to get 1.

$$x=1$$