Solve the following equation: |-3x+3|-9=12

Question

asked Sep 25, 2023 14.1k views

1 Answer

PradeepK · Answer 1 · 2023-10-01T01:09:24+0000

Answer:

$\large\boxed{\left \{ {{x\: = \: 8} \atop {x\: =\: -6}} \right. }\\$

Explanation:

$\left| -3x+3 \right| -9=12$

At first, let's add - 9 to both the sides. So,

$\left| -3x+3 \right| -9=12\\|-3x+3|=21$

Now, using the definition of absolute value, we can change the equation to..

$-3x+3=21 \\-3x+3=-21$

By, subtracting 3 from both the sides,

$-3x=18 \\-3x=-24$

Now, divide both the sides by 6,

$x=-6 \\x=8$

We now have 2 values of x. They are...

$\large\boxed{\left \{ {{x\: = \: 8} \atop {x\: =\: -6}} \right. }\\$

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Hope it helps!

$\mathfrak{Lucazz}$