Question

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

Answer 1

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

Answer 2

$\sf\purple{x= 7}$

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

$➺\:6(x - 3) = 8(x - 4)$

$➺ \: 6x - 18 = 8x - 32$

$➺ \: 6x - 8x = - 32 + 18$

$➺ \: - 2x = - 14$

$➺ \: x = \frac{ - 14}{ - 2}$

$➺ \: x = 7$

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.

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