Question

19 – 5x = 9(1+x) solve

Answer 1

$\Large\boxed{\tt Answer:~x=\frac{5}{7} }$

$\tt Step-by-step~explanation:$

Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract

Distribute: 9(1+x) = 9+9x

19 - 5x = 9 + 9x

Add 5x to both sides of the equation and subtract 9 from both sides.

19 - 5x + (5x) = 9 + 9x + (5x)

19 - (9) = 9 - (9) + 14x

10 = 14x

Divide both sides by 14 to get the variable on its own.

10/14 = 14x/14

10/14=x

5/7 = x

Answer 2

Given Equation:

$\boxed{ \sf19 - 5x = 9(1+x)}$

Step-by-step explanation:

⇢ 19 - 5x = 9(1+x)

⇢ 19 - 5x = 9 × 1 + 9(x)

⇢ 19 - 5x = 9 × 1 + 9x

⇢ 19 - 5x = 9 + 9x

⇢ 19 = 9 + 9x +5x

⇢ 19 = 9 + 14 x

⇢ 19 - 9 = 14x

⇢ 10 = 14x

⇢ 14x = 10

⇢ x = $\sf\frac{10}{14}$

⇢ x = $\sf\frac{2\times 5}{2\times 7}$

⇢ x = $\sf\frac{\cancel2\times 5}{\cancel2\times 7}$

⇢ x = $\sf\frac{1\times 5}{1\times 7}$

⇢ x = $\sf\frac{5}{7}$

⇢ x = 0.71 (approx)

Now Let's verify value of x

↬ 19 - 5x = 9(1+x)

put value of x in this equation

↬ 19 - 5 × 0.71 = 9(1+0.71)

↬ 19 - 5 ×0.71 = 9 ×1 + 9 × 0.71

↬ 19 - 5 × 0.71 = 9 + 9 × 0.71

↬ 19 - 5 × 0.71 = 9 + 6

↬ 19 - 3 = 9 + 6

↬ 19 - 3 = 9 + 6

↬ 19 - 3 = 15 + 6

↬ 15 = 15

LHS = RHS

HENCE VERIFIED!