CPM Homework Help : INT1 Problem 1-23

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1-23.

Solve each linear equation. Check your solutions.

$−2x−3=3$
Step 1(a):
Add $3$ to both sides.
$−2x−3=3$
$\ \ \ \ \ \ \ +3\ \ +3$
$−2x=6$
Step 2(a):
Divide both sides by $−2$
Answer(a):
$x=−3$

$7+2x=4x−3$
Step 1(b):
Add $3$ to both sides.
$7+2x=4x−3$
$+3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ +3$
$10+2x=4x$
Step 2(b):
Subtract $2x$ from both sides.
$10+2x=4x$
$\ \ \ \ −2x\ \ \ −2x$
$10=2x$
Step 3(b):
Divide both sides by $2$ .
$\large {\frac{10}{2\ }=\frac{2x}{2}}$
Answer (b):
$x\ =\ 5$

$6x−10=−8+3x$
Hint (c):
Refer to part (b).

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