Question

Solve the equation:- 3-4x=2x+25​

Answer 1

Answer:

Equation is 3-4x=2x+25.

Solve:

Simplifying:

3 + 4x = 2x + 25

Reorder the terms:

3 + -4x = 25 + 2x

Solving

3 + -4x = 25 + 2x

Solving for variable 'x'

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

3 + -4x + 2x = 25 + 2x + 2x

Combine like terms: -4x + -2x = -6x

3 + -6x = 25 + 2x + -2x

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

3 + -6x = 25 + 0

3 + -6x = 25

Add '-3' to each side of the equation

3 + -3 + -6x = 25 + -3

Combine like terms: 3 + -3 = 0

0 + -6x = 25 + -3

-6x = 25 + -3

Combine like terms: 25 + -3 = 22

-6 = 22

Divide each side by '-6'

x = -3.666666667

So x = 3.666666667.

Hope it helps you mate......

Answer 2

Answer:

Hence, the value of the equation is $-\frac{11}{3} .$

Step-by-step explanation:

As per the data given in the question,

We have to find the value of the equation,

The given equation,

$3-4x=2x+25$

Now rearranging the terms, we get

=> $-4x+3=2x+25$

Subtract $3$ from both sides,

=> $-4x+3-3=2x+25-3$

Simplifying it further,

=> $-4x=2x+25-3$

Subtract the numbers,

=> $-4x=2x+22$

Subtract both sides by $2x$,

=> $-4x-2x=2x+22-2x$

=> $-6x = 22$

Divide both sides by $-6$,

=> $x = -\frac{22}{6}$

Canceling the terms, we get

=> $x = -\frac{11}{3}$

So, the required solution is $-\frac{11}{3} .$