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Ahat [919]
3 years ago
11

3x+16=7x answer please

Mathematics
2 answers:
melisa1 [442]3 years ago
6 0

Answer:

\large \boxed{x = 4}

Step-by-step explanation:

<u>Goal</u>

  • Solve for x-term.

<u>Given</u>

  • Equation

3x + 16 = 7x

<u>Step</u><u> </u><u>1</u>

  • 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

<u>Step</u><u> </u><u>2</u>

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

\frac{16}{4}  = x \\ 4 = x

<u>Step</u><u> </u><u>3</u>

  • 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

OLga [1]3 years ago
5 0

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

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