Question

ables on both sides
lary
vide to one side of the equation then you
the equation balanced.
lication and division.
s on both sides we will need to use inverse
quality to isolate the variable.
$3x + 8 = 22 - 4x$
$4(3 - 2x) = 2(x + 1)$

Explanation:

Step1: Solve $3x + 8 = 22 - 4x$: Gather x terms

Add $4x$ to both sides:
$3x + 4x + 8 = 22$
$7x + 8 = 22$

Step2: Isolate x term

Subtract 8 from both sides:
$7x = 22 - 8$
$7x = 14$

Step3: Solve for x

Divide by 7 on both sides:
$x = \frac{14}{7}$
$x = 2$

Step4: Solve $4(3 - 2x) = 2(x + 1)$: Expand brackets

$12 - 8x = 2x + 2$

Step5: Gather x terms

Add $8x$ to both sides:
$12 = 2x + 8x + 2$
$12 = 10x + 2$

Step6: Isolate x term

Subtract 2 from both sides:
$12 - 2 = 10x$
$10 = 10x$

Step7: Solve for x

Divide by 10 on both sides:
$x = \frac{10}{10}$
$x = 1$

Answer:

For $3x + 8 = 22 - 4x$, $x=2$
For $4(3 - 2x) = 2(x + 1)$, $x=1$