Solve the following linear equation. Explain every step in the process.

-4x + 2 (3x - 1) - 12 = 3x + 30

X = - 44

Step-by-step explanation:

Multiply parenthesis by 2. Distribute 2 through the parenthesis. Collect like terms. Calculate the difference. Move variable to the left side and change it's sign. Move constant to the right side and change it's sign. Collect like terms. Add the numbers. Change the signs on both sides of the equation. Then you'll get X = - 44

44/7

Step-by-step explanation:

First, carry out the indicated multiplication, using the Distributive Property of Multiplication:

-4x + 2 (3x - 1) - 12 = 3x + 30 becomes:

-4x + 6x - 2 - 12 = 3x + 30

Next, combine all the x terms and all the constants. We get:

10x - 14 = 3x + 30, or 7x = 44

Dividing both sides by 7 yields x = 44/7.