Solve -2(x+135)+5=3(x+16)

$$- 2 ( x + 135 ) + 5 = 3 ( x + 16 )$$

Solve for x

$$x = -\frac{313}{5} = -62\frac{3}{5} = -62.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+135.

$$-2x-270+5=3\left(x+16\right)$$

Add -270 and 5 to get -265.

$$-2x-265=3\left(x+16\right)$$

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

$$-2x-265=3x+48$$

Subtract 3x from both sides.

$$-2x-265-3x=48$$

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

$$-5x-265=48$$

Add 265 to both sides.

$$-5x=48+265$$

Add 48 and 265 to get 313.

$$-5x=313$$

Divide both sides by -5.

$$x=\frac{313}{-5}$$

Fraction \frac{313}{-5} can be rewritten as -\frac{313}{5} by extracting the negative sign.

$$x=-\frac{313}{5}$$