Home > CCAA8 > Chapter 1 Unit 1 > Lesson CCA: 1.2.1 > Problem1-36

1-36.

Solve the following linear equations.

1. $8x+1=−x−1$

Subtract $1$ from each side.
$8x+1=−x−1$
$\ \ \ \ −1\ \ \ \ \ \ \ \ \ \ \ −1$
$8x=−x−2$

Add $x$ to both sides.

$8x=−x−2$
$+x\ \ \ +x$
$9x=−2$

Divide both sides by $9$

$\frac{9x}{9}=\frac{-2}{9}$

$x=-\frac{2}{9}$

1. $−4x−3=3x−4−7x$

Combine like terms on either side of the equation.
$−4x−3=−4x−4$

Add $3$ to both sides.

$−4x−3=−4x−4$
$\ \ \ \ \ \ \ +3\ \ \ \ \ \ \ \ \ \ \ \ \ +3$
$−4x=−4x−1$

Add $4x$ to both sides.
$−4x=−4x−1$
$+4x\ \ \ \ +4x$
$0=1$

No solution. Do you see why?

1. $4−5x=1+6x$

Refer to part (a).

1. $7−x+3=9x+10$

Refer to part (b).