Question

3x+16=7x


answer please

Answer 1

x = 4

Explanation:

We have the algebraic expression 3x + 16 = 7x and are asked to solve.

When we need to solve for x, we need to get x alone always.

So 3x + 16 = 7x.

Subtract 3x from both sides :

16 = 4x

Divide 4 from both sides :

x = 4

Answer 2

`\large \boxed{x = 4}`

Explanation:

Goal

• Solve for x-term.

Given

• Equation

`3x + 16 = 7x`

Step 1

• Combine like terms. We move 3x to subtract 7x since we can't add with a constant with a variable.

`16 = 7x - 3x \\ 16 = 4x`

Step 2

• Move 4 to divide 16 because we need to make x-term as the subject of equation.

`(16)/(4) = x \\ 4 = x`

Step 3

• If you are not sure that the answer is correct, we can check the answer by substituting x = 4 in the equation.

`3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28`

The equation is true for x = 4. Hence, the solution is x = 4