Question

1+7*(x-2)=5*(3-2 x)+3

Answer 1

1+7x-14=15-10x+3
7x+10x=15+3-1+14
17x=31
x=31/17

Answer 2

To solve the equation 1 + 7*(x - 2) = 5*(3 - 2x) + 3, follow these steps:

1. Distribute the constants and coefficients on the right side of the equation to simplify it:

1 + 7x - 14 = 15 - 10x + 3

2. Combine like terms on both sides of the equation:

7x - 13 = 18 - 10x

3. Add 10x to both sides to move the x terms to one side of the equation:

7x + 10x - 13 = 18

4. Combine the x terms on the left side of the equation:

17x - 13 = 18

5. Add 13 to both sides to isolate the term with the variable on the left side:

17x = 18 + 13 17x = 31

6. Finally, divide both sides by 17 to solve for x:

x = 31/17

So, the solution for the equation is:

x = 31/17