Question

solve the following equation for $x$. express your answer in the simplest form.
$-5(-7x + 4)+6=\frac{1}{2}(8x - 2)+5$
answer attempt 1 out of 2
the equation has

Explanation:

Step1: Expand both sides

Expand $-5(-7x + 4)+6$ and $\frac{1}{2}(8x - 2)+5$.
$(-5)\times(-7x)+(-5)\times4 + 6=\frac{1}{2}\times8x-\frac{1}{2}\times2 + 5$
$35x-20 + 6=4x-1 + 5$
$35x-14=4x + 4$

Step2: Move terms with $x$ to one - side

Subtract $4x$ from both sides.
$35x-4x-14=4x-4x + 4$
$31x-14=4$

Step3: Move the constant term

Add 14 to both sides.
$31x-14 + 14=4 + 14$
$31x=18$

Step4: Solve for $x$

Divide both sides by 31.
$x=\frac{18}{31}$

Answer:

$x=\frac{18}{31}$