QuestionSolve the equation: $2(2 x+7)=11 x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $(x+7)=11x$ . We need to solve for $x$

STEP 2

First, we need to distribute the $2$ on the left side of the equation.
$2(2x+7) =4x +14$ So, the equation becomes $4x +14 =11x$

STEP 3

Now, we need to get all terms with $x$ on one side of the equation and the constants on the other side. We can do this by subtracting $x$ from both sides of the equation.
$x -x +14 =11x -x$ This simplifies to $14 =7x$

STEP 4

Finally, we need to solve for $x$ . We can do this by dividing both sides of the equation by $7$ .
$\frac{14}{7} = \frac{7x}{7}$ This simplifies to $x =2$ So, the solution to the equation is $x =2$ .

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