Ili kutatua swali hilo, tutafuata hatua hizi: Step 1: Andika upya mlinganyo. 2x/3 − 6 = x/2 Step 2: Tafuta kigawo kidogo cha kawaida (LCM) cha madhehebu (3 na 2), ambacho ni 6. Kisha zidisha kila neno la mlinganyo kwa 6 ili kuondoa madhehebu. 6 ( 2x/3 ) − 6(6) = 6 ( x/2 ) Step 3: Rahisisha mlinganyo. 4x − 36 = 3x Step 4: Kusanya vigezo vya x upande mmoja wa mlinganyo na namba zisizo na vigezo upande mwingine. Toa 3x kutoka pande zote mbili. 4x − 3x − 36 = 3x − 3x; x − 36 = 0 Step 5: Ongeza 36 pande zote mbili ili kumtenga x. x − 36 + 36 = 0 + 36; x = 36 Hivyo, thamani ya x ni: x = 36

Solve that question.

July 4, 2026Mathematics

ScanSolve AI Answer

Answer

x = 36

Step-by-step solution

5 steps

Ili kutatua swali hilo, tutafuata hatua hizi:

Andika upya mlinganyo.
$\frac{2x}{3} - 6 = \frac{x}{2}$
Tafuta kigawo kidogo cha kawaida (LCM) cha madhehebu (3 na 2), ambacho ni 6.
Kisha zidisha kila neno la mlinganyo kwa 6 ili kuondoa madhehebu.
$6 \left( \frac{2x}{3} \right) - 6(6) = 6 \left( \frac{x}{2} \right)$
Rahisisha mlinganyo.
$4x - 36 = 3x$
Kusanya vigezo vya $x$ upande mmoja wa mlinganyo na namba zisizo na vigezo upande mwingine.
Toa $3x$ kutoka pande zote mbili.
$4x - 3x - 36 = 3x - 3x$ $x - 36 = 0$
Ongeza 36 pande zote mbili ili kumtenga $x$ .
$x - 36 + 36 = 0 + 36$ $x = 36$
Hivyo, thamani ya $x$ ni:

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Solve that question.

Answer

Step-by-step solution

Andika upya mlinganyo.

Tafuta kigawo kidogo cha kawaida (LCM) cha madhehebu (3 na 2), ambacho ni 6.

Rahisisha mlinganyo.

Kusanya vigezo vya xxx upande mmoja wa mlinganyo na namba zisizo na vigezo upande mwingine.

Ongeza 36 pande zote mbili ili kumtenga xxx.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Kusanya vigezo vya $x$ upande mmoja wa mlinganyo na namba zisizo na vigezo upande mwingine.

Ongeza 36 pande zote mbili ili kumtenga $x$ .