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

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

Solve for x

$$x=\frac{4}{37}\approx 0.108108108$$

Steps for Solving Linear Equation

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

$$-25x+10=2\left(6x+3\right)$$

Use the distributive property to multiply 2 by 6x+3.

$$-25x+10=12x+6$$

Subtract 12x from both sides.

$$-25x+10-12x=6$$

Combine -25x and -12x to get -37x.

$$-37x+10=6$$

Subtract 10 from both sides.

$$-37x=6-10$$

Subtract 10 from 6 to get -4.

$$-37x=-4$$

Divide both sides by -37.

$$x=\frac{-4}{-37}$$

Fraction \frac{-4}{-37} can be simplified to \frac{4}{37} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{37}$$