1.) - 2 (6 - 2x) = 4 (-3 + x)

2.) 5 - 1 (2x + 3) = - 2 (4 + x)

Let's solve your equation step-by-step.

Question 1: - 2 (6-2x) = 4 (-3+x)

Step 1: Simplify both sides of the equation.

-2 (6-2x) = 4 (-3+x)

(-2) (6) + (-2) (-2x) = (4) (-3) + (4) (x) (Distribute)

-12+4x=-12+4x

4x-12=4x-12

Step 2: Subtract 4x from both sides.

4x-12-4x=4x-12-4x

-12=-12

Step 3: Add 12 to both sides.

-12+12=-12+12

0=0

Answer: All real numbers are solutions.

Question 2:

Let's solve your equation step-by-step.

5-1 (2x+3) = - 2 (4+x)

Step 1: Simplify both sides of the equation.

5-1 (2x+3) = - 2 (4+x)

5 + (-1) (2x) + (-1) (3) = (-2) (4) + (-2) (x) (Distribute)

5+-2x+-3=-8+-2x

(-2x) + (5+-3) = - 2x-8 (Combine Like Terms)

-2x+2=-2x-8

-2x+2=-2x-8

Step 2: Add 2x to both sides.

-2x+2+2x=-2x-8+2x

2=-8

Step 3: Subtract 2 from both sides.

2-2=-8-2

0=-10

Answer: There are no solutions.