Question

Simplifying each side of the equation results in x2 − 3x − 4 = x2 − 5x + 6. Find the solution: x + 2 3x − 1 x − 2 = x − 3 3x

Answer 1

Answer:

$x=5$

Step-by-step explanation:

We have been an equation $x^2-3x-4=x^2-5x+6$. We are asked to find the solution of our given equation.

$x^2-x^2-3x-4=x^2-x^2-5x+6$

$-3x-4=-5x+6$

Adding 5x on both sides of our equation we will get,

$-3x+5x-4=-5x+5x+6$

$2x-4= 6$

Upon adding 4 on both sides of our equation we will get,

$2x-4+4= 6+4$

$2x=10$

Now, we will divide both sides of our equation by 2.

$\frac{2x}{2}=\frac{10}{2}$

$x=5$

Therefore, the solution of our given equation is $x=5$.

Answer 2

The value of x from the expression is 5

Simplifying expressions

Given the equation x²-3x-4 = x²-5x+6

Collect the like terms

x² - x² -3x +5x -4 -6 = 0

Simplify the result

2x - 10 = 0

Add 10 to both sides

2x - 10 + 10 = 10

2x = 10

x = 5

Hence the value of x from the expression is 5

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