Question

Solvetheequation:5–3(5x+2)=4(7–3x)+1

Answer 1

Answer:

$5 - 3(5x + 2) = 4(7 - 3x) + 1$

$5 - 15x - 6 = 4(7 - 3x) + 1$

$- 6 + 5 - 15x = 4(7 - 3x) + 1$

$- 1 - 15x = 4(7 - 3x) + 1$

$- 15x - 1 = 4( - 3x + 7) + 1$

$- 15x - 1 = - 12x + 28 + 1$

$- 15x - 1 = - 12x + 29$

$- 15x = - 12x + 29 + 1$

$- 15x = - 12x + 30$

$- 15x - 12x = 30$

$- 3x = 30$

$x = \frac{30}{ - 3}$

$x = - 10$

Answer 2

Answer :

Therefore , Value of X is

• - 10 .

Step-by-step-Explaination :

Step 1 :-

Solve the Given Equation :-

$\rm \: 5 - 3(5x + 2) = 4(7 - 3x) + 1$

Opening brackets,

$\implies \rm \: 5 - 3 \times 5x - 3 \times 2= 28 - 12x+ 1$

Now , multiplying 3 in L.H.S side ,

$\implies\rm \: 5-15x - 6= 28 - 12x+ 1$

$\implies\rm \: 5-6-15x = 29- 12x$

$\implies\rm \: 1-15x = 29 - 12x$

Bringing both X to one side and both Constant to other . So, change in signs ,

$\implies\rm \: - 15x + 12x -1 = 29$

Again if we bring - 1 to R.H.S it's sign will change .

$\implies\rm \: - 15x + 12x = 29+1$

$\implies\rm \: - 3x = 30$

$\implies\rm \: x = \cancel\dfrac{ 30}{ - 3}$

$\implies\rm \: \bf \: x = - 10$

Hence ,

• The value of X in this equation is - 10 .

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