Question

Find the value of X 3/4(6x+1)-3x = 1/4(2x-1)

Answer 1

Step-by-step explanation:

`(3)/(4)\mleft(6x+1\mright)-3x=(1)/(4)\mleft(2x-1\mright)`

We expand the parenthesis using distributive property:

`\begin{gathered} (3)/(4)(6x)\text{ + }(3)/(4)(1)\text{ - 3x = }(1)/(4)(2x)\text{ - }(1)/(4)(1) \\ (18x)/(4)\text{ + }(3)/(4)\text{ - 3x = }(2x)/(4)-\text{ }(1)/(4) \\ \\ \text{collect like terms:} \\ (18x)/(4)\text{ - 3x - }(2x)/(4)\text{ = }-\text{ }(1)/(4)\text{ -}(3)/(4)\text{ } \end{gathered}`
`\begin{gathered} (18x)/(4)\text{ -}\frac{\text{ 3x}}{1}\text{ - }(2x)/(4)\text{ = }-\text{ }(1)/(4)\text{ -}(3)/(4)\text{ } \\ we\text{ find the LCM of left hand side:} \\ \frac{18x\text{ -3x(4) - 2x}}{4}\text{ = }-\text{ }(1)/(4)\text{ -}(3)/(4)\text{ } \\ \frac{18x\text{ - 12x -2x}}{4}\text{ = }-\text{ }(1)/(4)\text{ -}(3)/(4)\text{ } \\ (4x)/(4)\text{ = }-\text{ }(1)/(4)\text{ -}(3)/(4)\text{ } \\ x\text{ = }-\text{ }(1)/(4)\text{ -}(3)/(4)\text{ } \end{gathered}`