Question

X + 11 / 2x - 5 = 2
find x

Answer 1

`\huge\boxed{\sf x = 7}`

Explanation:

Given Equation:

`\displaystyle (x+11)/(2x-5) =2\\\\Multiply \ 2x-5 \ to \ both \ sides\\\\x+11=2(2x-5)\\\\Distribute\\\\x+11=4x-10\\\\Subtract \ x \ to \ both \ sides\\\\11 = 4x-x-10\\\\11=3x-10\\\\Add \ 10\ to \ both \ sides\\\\11+10=3x\\\\21=3x\\\\Divide \ 3 \ to \ both \ sides\\\\7 = x\\\\x = 7\\\\\rule[25]{25}{2}`