Question

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

Answer 1

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.