Solve -2(x+13.5)+5=3(x+16)

$$- 2 ( x + 13.5 ) + 5 = 3 ( x + 16 )$$

Solve for x

$$x=-14$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+13.5.

$$-2x-27+5=3\left(x+16\right)$$

Add -27 and 5 to get -22.

$$-2x-22=3\left(x+16\right)$$

Use the distributive property to multiply 3 by x+16.

$$-2x-22=3x+48$$

Subtract 3x from both sides.

$$-2x-22-3x=48$$

Combine -2x and -3x to get -5x.

$$-5x-22=48$$

Add 22 to both sides.

$$-5x=48+22$$

Add 48 and 22 to get 70.

$$-5x=70$$

Divide both sides by -5.

$$x=\frac{70}{-5}$$

Divide 70 by -5 to get -14.

$$x=-14$$