Question

1/3(x+7)=1+1/5(3x-2)

Answer 1

or,(x+7)/3 =1+(3x-2)/5
or,(x+7)/3 =(5+3x-2)/5
or,(x+7)/3 =(3+3x)/5
or,5x+35 =9+9x
or,35-9 =9x-5x
or,26 = 4x
or, x= 26/4
or, x=13/2

Answer 2

$\dfrac{1}{3} (x + 7) = 1 + \dfrac{1}{5} (3x - 2)$

.

Rewrite:

$\dfrac{1}{3} (x + 7) = \dfrac{5}{5} + \dfrac{1}{5} (3x - 2)$

.

Combine the fractions:

$\dfrac{x + 7}{3}= \dfrac{5 + 3x - 2}{5}$

.

Cross multiply:

$5(x + 7) = 3(3x + 3)$.

.

Distribute 5 and 3:

$5x + 35= 9x + 9$

.

Rearrange x to the left:

$9x - 5x + 35= 35 - 9$

.

Combine like terms:

$4x = 26$

.

Divide both sides by 4:

$x = \dfrac{26}{4}$

.

Change to mixed number:

$x = 6\dfrac{1}{2}$