Question

How to solve this problem 3x+5=2x+1
​

Answer 1

x = -4

Explanation:

To solve the given equation, we must find a value of x that satisfies the equation.

3x + 5 = 2x + 1

Subtract 2x from both sides.

x + 5 = 1

Subtract 5 from both sides.

x = -4

So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer 2

Explanation:

Simplifying

3x + 5 = 2x + 1

Reorder the terms:

5 + 3x = 2x + 1

Reorder the terms:

5 + 3x = 1 + 2x

Solving

5 + 3x = 1 + 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 + 3x + -2x = 1 + 2x + -2x

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

5 + 1x = 1 + 2x + -2x

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

5 + 1x = 1 + 0

5 + 1x = 1

Add '-5' to each side of the equation.

5 + -5 + 1x = 1 + -5

Combine like terms: 5 + -5 = 0

0 + 1x = 1 + -5

1x = 1 + -5

Combine like terms: 1 + -5 = -4

1x = -4

Divide each side by '1'.

x = -4

Simplifying

x = -4