Question

5(x-2)+3(x-1)=25. Check

Answer 1

Answer:

5x-10+3x-3=25

7x-13=25

7x=25+13

x= 38/7

x= 26.85

Answer 2

Answer:

$\sf\dfrac{19}{4}$

Step-by-step explanation:

5(x-2) + 3(x-1) = 25

→ 5x - 10 + 3x - 3 = 25

→ 8x - 13 = 25

→ 8x = 25 + 13

→ 8x = 38

→ x = $\sf\dfrac{38}{8}$

→ x = $\sf\dfrac{19}{4}$

$\:$

Checking

$\:$

Putting x = $\tt\dfrac{19}{4}$in the LHS.

$\sf{5 \bigg( \dfrac{19}{4} - 2\bigg) + 3 \bigg( \dfrac{19}{4} - 1\bigg)}$

$\:$

$\sf = {5 \bigg( \dfrac{19 - 8}{4} \bigg) + 3 \bigg( \dfrac{19 - 4}{4} \bigg)}$

$\:$

$\sf = {5 \times \dfrac{11}{4} + 3 \times \dfrac{15}{4} }$

$\:$

$\sf={ \dfrac{55}{4} + \dfrac{45}{4} }$

$\:$

$\sf={\dfrac{55 + 45}{4} }$

$\:$

$\sf ={\dfrac{100}{4} =\cancel\dfrac{100}{4} }$

$\:$

$\sf LHS= 25.$

$\:$

On RHS we already have 25 as

RHS = 25

So,

25 = 25

Therefore,

LHS = RHS

$\:$

Hence, Checked! ✓.