Solve (3x-2)(2x+5)=(6x-1)(x+4)

$$(3x-2)(2x+5)=(6x-1)(x+4)$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x-2 by 2x+5 and combine like terms.

$$6x^{2}+11x-10=\left(6x-1\right)\left(x+4\right)$$

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

$$6x^{2}+11x-10=6x^{2}+23x-4$$

Subtract 6x^{2} from both sides.

$$6x^{2}+11x-10-6x^{2}=23x-4$$

Combine 6x^{2} and -6x^{2} to get 0.

$$11x-10=23x-4$$

Subtract 23x from both sides.

$$11x-10-23x=-4$$

Combine 11x and -23x to get -12x.

$$-12x-10=-4$$

Add 10 to both sides.

$$-12x=-4+10$$

Add -4 and 10 to get 6.

$$-12x=6$$

Divide both sides by -12.

$$x=\frac{6}{-12}$$

Reduce the fraction \frac{6}{-12} to lowest terms by extracting and canceling out 6.

$$x=-\frac{1}{2}$$