Solve 5x+8-9(x+1)=3x+5

$$5 x + 8 - 9 ( x + 1 ) = 3 x + 5$$

Solve for x

$$x=-\frac{6}{7}\approx -0.857142857$$

Steps for Solving Linear Equation

Use the distributive property to multiply -9 by x+1.

$$5x+8-9x-9=3x+5$$

Combine 5x and -9x to get -4x.

$$-4x+8-9=3x+5$$

Subtract 9 from 8 to get -1.

$$-4x-1=3x+5$$

Subtract 3x from both sides.

$$-4x-1-3x=5$$

Combine -4x and -3x to get -7x.

$$-7x-1=5$$

Add 1 to both sides.

$$-7x=5+1$$

Add 5 and 1 to get 6.

$$-7x=6$$

Divide both sides by -7.

$$x=\frac{6}{-7}$$

Fraction \frac{6}{-7} can be rewritten as -\frac{6}{7} by extracting the negative sign.

$$x=-\frac{6}{7}$$