Question

2x-10 = 3(x - 10) find x​

Answer 1

Answer:

Step-by-step explanation:

Simplifying

2x + -10 = 3(x + -10)

Reorder the terms:

-10 + 2x = 3(x + -10)

Reorder the terms:

-10 + 2x = 3(-10 + x)

-10 + 2x = (-10 * 3 + x * 3)

-10 + 2x = (-30 + 3x)

Solving

-10 + 2x = -30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

-10 + 2x + -3x = -30 + 3x + -3x

Combine like terms: 2x + -3x = -1x

-10 + -1x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0

-10 + -1x = -30 + 0

-10 + -1x = -30

Add '10' to each side of the equation.

-10 + 10 + -1x = -30 + 10

Combine like terms: -10 + 10 = 0

0 + -1x = -30 + 10

-1x = -30 + 10

Combine like terms: -30 + 10 = -20

-1x = -20

Divide each side by '-1'.

x = 20

Simplifying

x = 20

Answer 2

Answer:

Hence, the required solution is 20.

Step-by-step explanation:

In context to questions asked,

We have to determine the value of x,

Here we will use the transposition method.

It is given that,

$2x-10 = 3(x - 10)$

Now, distributing the terms we get

=> $2x-10 = 3x - 30$

Add both sides by $10$, we get

=> $2x-10 +10= 3x - 30+10$

=> $2x = 3x- 20$

Now, subtract both sides by $3x$:

=> $2x -3x= 3x- 20-3x$

=> $-x = -20$

Divide both sides by $-1$, we get

=> $x = 20$