Solve (8x-2)(3x+4)=(4x+3)(6x-1)

$$( 8 x - 2 ) ( 3 x + 4 ) = ( 4 x + 3 ) ( 6 x - 1 )$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8x-2 by 3x+4 and combine like terms.

$$24x^{2}+26x-8=\left(4x+3\right)\left(6x-1\right)$$

Use the distributive property to multiply 4x+3 by 6x-1 and combine like terms.

$$24x^{2}+26x-8=24x^{2}+14x-3$$

Subtract 24x^{2} from both sides.

$$24x^{2}+26x-8-24x^{2}=14x-3$$

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

$$26x-8=14x-3$$

Subtract 14x from both sides.

$$26x-8-14x=-3$$

Combine 26x and -14x to get 12x.

$$12x-8=-3$$

Add 8 to both sides.

$$12x=-3+8$$

Add -3 and 8 to get 5.

$$12x=5$$

Divide both sides by 12.

$$x=\frac{5}{12}$$