Respuesta :

Answer:

x = 4

Step-by-step 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

VectorFundament120

Answer:

[tex] \large \boxed{x = 4}[/tex]

Step-by-step explanation:

Goal

  • Solve for x-term.

Given

  • Equation

[tex]3x + 16 = 7x[/tex]

Step 1

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

[tex]16 = 7x - 3x \\ 16 = 4x[/tex]

Step 2

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

[tex] \frac{16}{4} = x \\ 4 = x[/tex]

Step 3

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

[tex]3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28[/tex]

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

Otras preguntas