Solve for x :-
[tex]\boxed{\sf 2x-1=8x-8}[/tex]
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Answer:
To solve for x in the equation 2x-1=8x-8, we need to get x alone on one side of the equation.
1. Add 1 to both sides: 2x-1+1=8x-8+1
2x=8x-7
2. Next, subtract 2x from both sides: 2x - 2x = 8x - 7 - 2x
0 = 6x - 7
3. Finally, add 7 to both sides: 0 + 7 = 6x - 7 + 7
x = 7/6 or x = 1.1667 (in decimal form)
Therefore, x = 1.1667 is the solution to the equation 2x-1=8x-8
Answer and Explanation
Our problem is:
[tex]\boxed{\sf{2x-1=8x-8}}[/tex]
For tackling this problem, I'll isolate the variable using several steps. I'll combine the like terms on both sides.
[tex]2x-1=8x-8\\2x=8x-8+1\\2x=8x-7\\2x-8x=-7\\-6x=-7\\x=\displaystyle\frac{7}{6}[/tex]
[tex]\dotfill[/tex]