Solve for X: -3(1/2x + 4) = 1/2 Linear Equation Solution

Question

Solve for x:

$-3(\frac{1}{2}x+4)=\frac{1}{2}$

00:00 Find X

00:03 Open parentheses properly, multiply by each factor

00:15 Multiply by 2 to eliminate fractions

00:30 Arrange the equation so that only the unknown X is on one side

00:38 Collect terms

00:42 Isolate X

00:50 And this is the solution to the question

We open the parentheses on the left side by the distributive property and use the formula:

$a(x+b)=ax+ab$

$-\frac{3}{2}x-12=\frac{1}{2}$

We multiply all terms by 2 to get rid of the fractions:

$-3x-12\times2=1$

$-3x-24=1$

We will move the minus 24 to the right section and keep the corresponding sign:

$-3x=24+1$

$-3x=25$

Divide both sections by minus 3:

$\frac{-3x}{-3}=\frac{25}{-3}$

$x=-\frac{25}{3}$

$-\frac{25}{3}$