Solve 5x-5(2x+1)=-8(4x+3)

$$5 x - 5 ( 2 x + 1 ) = - 8 ( 4 x + 3 )$$

Solve for x

$$x=-\frac{19}{27}\approx -0.703703704$$

Steps for Solving Linear Equation

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

$$5x-10x-5=-8\left(4x+3\right)$$

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

$$-5x-5=-8\left(4x+3\right)$$

Use the distributive property to multiply -8 by 4x+3.

$$-5x-5=-32x-24$$

Add 32x to both sides.

$$-5x-5+32x=-24$$

Combine -5x and 32x to get 27x.

$$27x-5=-24$$

Add 5 to both sides.

$$27x=-24+5$$

Add -24 and 5 to get -19.

$$27x=-19$$

Divide both sides by 27.

$$x=\frac{-19}{27}$$

Fraction \frac{-19}{27} can be rewritten as -\frac{19}{27} by extracting the negative sign.

$$x=-\frac{19}{27}$$