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

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

Solve for x

$$x = -\frac{10}{7} = -1\frac{3}{7} \approx -1.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2x+1.

$$5x-10x-5=-3\left(4x+5\right)$$

Combine 5x and -10x to get -5x.

$$-5x-5=-3\left(4x+5\right)$$

Use the distributive property to multiply -3 by 4x+5.

$$-5x-5=-12x-15$$

Add 12x to both sides.

$$-5x-5+12x=-15$$

Combine -5x and 12x to get 7x.

$$7x-5=-15$$

Add 5 to both sides.

$$7x=-15+5$$

Add -15 and 5 to get -10.

$$7x=-10$$

Divide both sides by 7.

$$x=\frac{-10}{7}$$

Fraction \frac{-10}{7} can be rewritten as -\frac{10}{7} by extracting the negative sign.

$$x=-\frac{10}{7}$$