Solve (3x-5)-5(2x-8)=20+4x

$$( 3 x - 5 ) - 5 ( 2 x - 8 ) = 20 + 4 x$$

Solve for x

$$x = \frac{15}{11} = 1\frac{4}{11} \approx 1.363636364$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2x-8.

$$3x-5-10x+40=20+4x$$

Combine 3x and -10x to get -7x.

$$-7x-5+40=20+4x$$

Add -5 and 40 to get 35.

$$-7x+35=20+4x$$

Subtract 4x from both sides.

$$-7x+35-4x=20$$

Combine -7x and -4x to get -11x.

$$-11x+35=20$$

Subtract 35 from both sides.

$$-11x=20-35$$

Subtract 35 from 20 to get -15.

$$-11x=-15$$

Divide both sides by -11.

$$x=\frac{-15}{-11}$$

Fraction \frac{-15}{-11} can be simplified to \frac{15}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{15}{11}$$