Solve 2-5(x+7)=8-3(x+3)

$$2 - 5 ( x + 7 ) = 8 - 3 ( x + 3 )$$

Solve for x

$$x=-16$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+7.

$$2-5x-35=8-3\left(x+3\right)$$

Subtract 35 from 2 to get -33.

$$-33-5x=8-3\left(x+3\right)$$

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

$$-33-5x=8-3x-9$$

Subtract 9 from 8 to get -1.

$$-33-5x=-1-3x$$

Add 3x to both sides.

$$-33-5x+3x=-1$$

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

$$-33-2x=-1$$

Add 33 to both sides.

$$-2x=-1+33$$

Add -1 and 33 to get 32.

$$-2x=32$$

Divide both sides by -2.

$$x=\frac{32}{-2}$$

Divide 32 by -2 to get -16.

$$x=-16$$