Question

Solve: -4(x + 10) - 6 = -3(x - 2)

Answer 1

Solve for x:
-6-4 (x+10) = -3 (x-2)
Distribute -4 over x+10.
-4 (x+10) = -40-4 x:
-40-4 x-6 = -3 (x-2)
Group like terms in -4 x-40-6.
Grouping like terms, -4 x-40-6 = -4 x+(-6-40):
-4 x+(-6-40) = -3 (x-2)
Evaluate -6-40.
-6-40 = -46:
-46-4 x = -3 (x-2)
Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
-4 x-46 = 6-3 x
Move terms with x to the left hand side.
Add 3 x to both sides:
3 x-4 x-46 = (3 x-3 x)+6
Look for two terms that sum to zero.
3 x-3 x = 0:
3 x-4 x-46 = 6
Combine like terms in 3 x-4 x-46.
3 x-4 x = -x:
-x-46 = 6
Isolate terms with x to the left hand side.
Add 46 to both sides:
(46-46)-x = 6+46
Look for two terms that sum to zero.
46-46 = 0:
-x = 6+46
Evaluate 6+46.
6+46 = 52:
-x = 52
Multiply both sides by a constant to simplify the equation.
Multiply both sides of -x = 52 by -1:
-x/(-1) = -52
Any nonzero number divided by itself is one.
(-1)/(-1) = 1:
Answer: |
| x = -52

Answer 2

thanks! and great detail! it really helped

Answer 3

Np