Respuesta :
Answer:
(D) 21
Explanation:
3(2x−1)−10=8+5x
Step 1: Simplify both sides of the equation.
3(2x−1)−10=8+5x
(3)(2x)+(3)(−1)+−10=8+5x(Distribute)
6x+−3+−10=8+5x
(6x)+(−3+−10)=5x+8(Combine Like Terms)
6x+−13=5x+8
6x−13=5x+8
Step 2: Subtract 5x from both sides.
6x−13−5x=5x+8−5x
x−13=8
Step 3: Add 13 to both sides.
x−13+13=8+13
x=21
Answer:
D. 21
Step-by-step explanation:
Given equation: [tex]\[3(2x – 1) – 10 = 8 + 5x\] [/tex]
Simplifying:
[tex]\[6x – 3 – 10 = 8 + 5x\] [/tex]
=> [tex]\[6x – 13 = 8 + 5x\] [/tex]
=> [tex]\[6x – 5x = 8 + 13\] [/tex]
=> [tex]\[(6 – 5)x = 21\] [/tex]
=> [tex]\[x = 21\] [/tex]
Verifying by substituting the value of x in the equation:
Left Hand Side: [tex]\[3(2x – 1) – 10\][/tex]
[tex]\[3(2*21 – 1) – 10\][/tex]
= [tex]\[3(42 – 1) – 10\][/tex]
= [tex]\[3(41) – 10\][/tex]
= [tex]\[123 – 10\][/tex]
= [tex]\[113\][/tex]
Right Hand Side: [tex]\[8 + 5x\][/tex]
= [tex]\[8 + 5*21\][/tex]
= [tex]\[8 + 105\][/tex]
= [tex]\[113\][/tex]
So, Left Hand Side = Right Hand Side when x=21.