Question

7x – 5 = 2x Solve the equation

Answer 1

"7x - 5 = 2x

⇒ 7x - 2x = 5

⇒ 5x = 5

⇒ x = 5/5 = 1

Simplifying

7x + -5 = 2x + 5

Reorder the terms:

-5 + 7x = 2x + 5

Reorder the terms:

-5 + 7x = 5 + 2x

Solving

-5 + 7x = 5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-5 + 7x + -2x = 5 + 2x + -2x

Combine like terms: 7x + -2x = 5x

-5 + 5x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0

-5 + 5x = 5 + 0

-5 + 5x = 5

Add '5' to each side of the equation.

-5 + 5 + 5x = 5 + 5

Combine like terms: -5 + 5 = 0

0 + 5x = 5 + 5

5x = 5 + 5

Combine like terms: 5 + 5 = 10

5x = 10

Divide each side by '5'.

x = 2

Simplifying

x = 2

"

Answer 2

Answer:

=> x = 1

Step-by-step explanation:

As per the data given in the question, we have to solve the equation.

Given that:-

$7x - 5 = 2x$

For solving we have to use the property of BODMAS,

The acronym 'BODMAS' is used to recall the order for which the various numerical operations should be conducted.

Add both sides by 5 we get,

$=> 7x - 5+5 = 2x+5$

$=>7x=2x+5$

Subtract both the sides by $2x$ we get,

$=>7x-2x=2x+5-2x$

$=>5x=5$

Divide both sides by 5 we get,

$=>x=1$

Hence, the required solution is 1.