Solve for x

-2 (4x-5) + 2x+4=26

X = - 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

-2 (4x-5) + 2x+4=26

(-2) (4x) + (-2) (-5) + 2x+4=26 (Distribute)

-8x+10+2x+4=26

(-8x+2x) + (10+4) = 26 (Combine Like Terms)

-6x+14=26

-6x+14=26

Step 2: Subtract 14 from both sides.

-6x+14-14=26-14

-6x=12

Step 3: Divide both sides by - 6.

-6x

-6

=

12

-6

x=-2

Answer:

x=-2

We can use the distribution property:

-2 (4x - 5) + 2x + 4 = 26

Move like terms to one side and distribute:

-2 (4x - 5) + 2x + 4 = 26

-8x + 10 + 2x + 4 = 26

-8x + 2x = 26 - 10 - 4

Simplify:

-6x = 12

Solve:

6x = - 12

x = - 2