Question

example: solve each equation
g) $3(4x - 1) = 2x - 3$

example: solve each equation
i) $-5 - 9x = 3(1 - 3x) - 8$

critical thinking discussion: how many solutions o linear equation have?

Explanation:

Step1: Expand left side (Equation g)

$3(4x-1)=12x-3$

Step2: Rewrite equation g

$12x-3=2x-3$

Step3: Isolate x terms (Equation g)

$12x-2x=-3+3$

Step4: Simplify to solve x (Equation g)

$10x=0 \implies x=0$

Step5: Expand right side (Equation i)

$3(1-3x)-8=3-9x-8=-9x-5$

Step6: Rewrite equation i

$-5-9x=-9x-5$

Step7: Simplify equation i

$-5=-5$

Answer:

For equation g): $x=0$
For equation i): All real numbers are solutions (identity equation)