Solve -15-5left(2x+6right)=33+7x

$$-15-5 \left( 2x+6 \right) = 33+7x$$

Solve for x

$$x = -\frac{78}{17} = -4\frac{10}{17} \approx -4.588235294$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2x+6.

$$-15-10x-30=33+7x$$

Subtract 30 from -15 to get -45.

$$-45-10x=33+7x$$

Subtract 7x from both sides.

$$-45-10x-7x=33$$

Combine -10x and -7x to get -17x.

$$-45-17x=33$$

Add 45 to both sides.

$$-17x=33+45$$

Add 33 and 45 to get 78.

$$-17x=78$$

Divide both sides by -17.

$$x=\frac{78}{-17}$$

Fraction \frac{78}{-17} can be rewritten as -\frac{78}{17} by extracting the negative sign.

$$x=-\frac{78}{17}$$