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.