5x - (14 - x) = - 30 - 2x

x=-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x - (14-x) = -30-2x

5x+-1 (14-x) = -30-2x (Distribute the Negative Sign)

5x + (-1) (14) + -1 (-x) = -30-2x

5x+-14+x=-30-2x

5x+-14+x=-30+-2x

(5x+x) + (-14) = -2x-30 (Combine Like Terms)

6x+-14=-2x-30

6x-14=-2x-30

Step 2: Add 2x to both sides.

6x-14+2x=-2x-30+2x

8x-14=-30

Step 3: Add 14 to both sides.

8x-14+14=-30+14

8x=-16

Step 4: Divide both sides by 8.

8x

8

=

-16

8

x=-2

x=-2

Step-by-step explanation:

5x - (14-x) = -30-2x

5x-14+x=-30-2x

6x-14=-30-2x

6x - (-2x) - 14=-30

6x+2x-14=-30

8x-14=-30

8x=-30+14

8x=-16

x=-16/8

x=-2