Question

Solve for x:-
4x+3=7

Answer 1

`\huge\text{Hey there!}`

`\mathsf{4x + 3 = 7}`

`\large\textsf{SUBTRACT 3 to BOTH SIDES}`

`\mathsf{4x + 3 - 3 = 7 - 3}`

`\large\textsf{SIMPLIFY IT}`

`\mathsf{NEW \ EQUATION: 4x = 7 - 3}`

`\mathsf{4x = 4}`

`\large\textsf{DIVIDE 4 to BOTH SIDES}`

`\mathsf{(4x)/(4) = (4)/(4)}`

`\mathsf{x = (4)/(4)}`

`\mathsf{x = 1}`

`\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 1}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`

Answer 2

x=1

Explanation:

Maintaining Equality:

The main concept you need to understand to solve these types of problems, is if two sides are equal, and you apply the same operation to both sides (e.g addition, subtraction, division, even square root) they should remain the same (for the most part).

Solving the Problem:

Starting with

`4x+3=7`

We subtract 3 from both sides to maintain equality and get rid of the 3 on the left side.

`4x=4`

Now from here we want to divide both sides by 4 to get rid of the multiplication by 4 on the left side (the coefficient 4)

`x=1`

And now we have our solution!