Solve 5-3(2x-5)=3x+13

$$5 - 3 ( 2 x - 5 ) = 3 x + 13$$

Solve for x

$$x=\frac{7}{9}\approx 0.777777778$$

Steps for Solving Linear Equation

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

$$5-6x+15=3x+13$$

Add 5 and 15 to get 20.

$$20-6x=3x+13$$

Subtract 3x from both sides.

$$20-6x-3x=13$$

Combine -6x and -3x to get -9x.

$$20-9x=13$$

Subtract 20 from both sides.

$$-9x=13-20$$

Subtract 20 from 13 to get -7.

$$-9x=-7$$

Divide both sides by -9.

$$x=\frac{-7}{-9}$$

Fraction \frac{-7}{-9} can be simplified to \frac{7}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{9}$$