Final answer:
To solve the equation 6(x+5)+2=8(2x-5)+22, simplify both sides of the equation, combine like terms, isolate x, and find the solution as x = 5.
Step-by-step explanation:
To solve the equation 6(x+5)+2=8(2x-5)+22, we will first simplify both sides of the equation.
Starting with the left side, we distribute the 6 to both terms inside the parentheses: 6x + 30 + 2.
On the right side, we distribute the 8: 16x - 40 + 22.
After simplifying both sides, we have: 6x + 32 = 16x - 18.
Next, we can combine like terms on each side: 6x - 16x = -18 - 32.
Simplifying further, we get: -10x = -50.
To isolate x, we divide both sides by -10: x = -50/-10.
The solution to the equation is x = 5.