What is the answer to - 10+2x+3 (5 - x) = 2 (x - 2)

Let's solve this equation by step by step.

Layout equation.

-10+2x+3 (5-x) = 2 (x-2)

Step 1: Simplify both sides of the equation.

-10+2x+3 (5-x) = 2 (x-2)

-10+2x + (3) (5) + (3) (-x) = (2) (x) + (2) (-2) (Distribute)

-10+2x+15+-3x=2x+-4

(2x+-3x) + (-10+15) = 2x-4 (Combine Like Terms)

-x+5=2x-4

-x+5=2x-4

Step 2: Subtract 2x from both sides.

-x+5-2x=2x-4-2x

-3x+5=-4

Step 3: Subtract 5 from both sides.

-3x+5-5=-4-5

-3x=-9

Step 4: Divide both sides by - 3.

-3x/-3=-9/-3

So the answer is x=3.