Solve x+4/-2+x+10/9=8

$$\frac { x + 4 } { - 2 } + \frac { x + 10 } { 9 } = 8$$

Solve for x

$$x = -\frac{160}{7} = -22\frac{6}{7} \approx -22.857142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of -2,9.

$$-9\left(x+4\right)+2\left(x+10\right)=144$$

Use the distributive property to multiply -9 by x+4.

$$-9x-36+2\left(x+10\right)=144$$

Use the distributive property to multiply 2 by x+10.

$$-9x-36+2x+20=144$$

Combine -9x and 2x to get -7x.

$$-7x-36+20=144$$

Add -36 and 20 to get -16.

$$-7x-16=144$$

Add 16 to both sides.

$$-7x=144+16$$

Add 144 and 16 to get 160.

$$-7x=160$$

Divide both sides by -7.

$$x=\frac{160}{-7}$$

Fraction \frac{160}{-7} can be rewritten as -\frac{160}{7} by extracting the negative sign.

$$x=-\frac{160}{7}$$