Question

For which value of x is the equation 4x + 24 = 8x + 2x true?

Answer 1

Hey Mate
your answer is here

6x = 24
x = 4

Answer 2

Given:

The equation $4x + 24 = 8x + 2x$.

To Find:

The value of x which satisfies the given equation.

Solution:

We have to find the value of x which satisfies the given equation, i.e., we have to solve the given equation for the value of x.

$\since 4x + 24 = 8x + 2x$

$\Rightarrow 4x + 24 = 10x$

Now we will take the terms with to one side of the equation, as we can only add or subtract like terms.

$\Rightarrow 24 = 10x - 4x$

Solving further, we get:

$\Rightarrow 24 = 6x\\ \\\Rightarrow x = \frac{24}{6} \\ \\\Rightarrow x = 4$

So, we get the value of x = 4.

Thus, for x = 4, the equation 4x + 24 = 8x + 2x is true.

Verification:

We can also check it by putting x = 4 in the given equation:

L.H.S. = 4x + 24 = 4(4) + 24 = 16 + 24 = 40

R.H.S. = 8x + 2x = 8(4) + 2(4) = 32 + 8 = 40

Thus, L.H.S. = R.H.S. as 40 = 40.

i.e. for x = 4, the equation stands true.