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

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

Solve for x

$$x=\frac{12}{25}=0.48$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x by 2x-5.

$$6x^{2}-15x+6=2x\left(3x+5\right)-6$$

Use the distributive property to multiply 2x by 3x+5.

$$6x^{2}-15x+6=6x^{2}+10x-6$$

Subtract 6x^{2} from both sides.

$$6x^{2}-15x+6-6x^{2}=10x-6$$

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

$$-15x+6=10x-6$$

Subtract 10x from both sides.

$$-15x+6-10x=-6$$

Combine -15x and -10x to get -25x.

$$-25x+6=-6$$

Subtract 6 from both sides.

$$-25x=-6-6$$

Subtract 6 from -6 to get -12.

$$-25x=-12$$

Divide both sides by -25.

$$x=\frac{-12}{-25}$$

Fraction \frac{-12}{-25} can be simplified to \frac{12}{25} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{25}$$