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kondor19780726 [428]
3 years ago
8

Solve for x 6(x-3)=8(x-4)

Mathematics
2 answers:
Sveta_85 [38]3 years ago
6 0

Answer:

7=x

Step-by-step explanation:

6(x-3)=8(x-4)

Distribute

6x -18 = 8x-32

Subtract 6x from each side

6x-18 -6x = 8x-32-8x

-18 = 2x-32

Add 32 to each side

-18+32 = 2x-32+32

14 = 2x

Divide by 2

14/2 =2x/2

7=x

SpyIntel [72]3 years ago
6 0

\sf\purple{x= 7}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

➺\:6(x - 3) = 8(x - 4)

➺ \: 6x - 18 = 8x - 32

➺ \: 6x - 8x =  - 32 + 18

➺  \: - 2x =  - 14

➺ \: x =  \frac{ - 14}{ - 2}

➺ \: x = 7

Therefore, the value of x is 7.

\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

➺ \: 6(x - 3) = 8(x - 4)

➺ \: 6(7 - 3) = 8(7 - 4)

➺ \: 6 \times 4 = 8 \times 3

➺ \: 24 = 24

➺ L. H. S. = R. H. S.

Hence verified.

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

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