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Solve 2x + 7 = 45

The solution of 2x + 7 = 45 is x = 19.

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The lines y = 2x + 7 and y = 45 meet at x = 191416182022243540455055x = 19y = 2x + 7y = 45
The lines y = 2x + 7 and y = 45 meet at x = 19. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    2x+7=452x + 7 = 45
  2. 2

    Subtract 7 from both sides:

    2x+7−7=45−7 ⇒ 2x=382x + 7 - 7 = 45 - 7 \ \Rightarrow\ 2x = 38
  3. 3

    Divide both sides by 2:

    2x2=382 ⇒ x=19\frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    2⋅19+7=38+7=45✓2\cdot19 + 7 = 38 + 7 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 7 = 45\ \Rightarrow\ x = 19 \]
\[ 2x + 7 = 45 \]
\[ 2x + 7 - 7 = 45 - 7 \ \Rightarrow\ 2x = 38 \]
\[ \frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19 \]
\[ 2\cdot19 + 7 = 38 + 7 = 45 \checkmark \]

Trying values of x in 2x + 7 = 45

x2x + 7Equals 45?
1741no
1843no
1945yes
2047no
2149no

Questions

What is x in 2x + 7 = 45?

The solution of 2x + 7 = 45 is x = 19.

How do you solve 2x + 7 = 45?

Subtract 7 from both sides to get 2x = 38, then divide both sides by 2 to get x = 19.

How do I check the answer?

Replace x by 19: 2(19) + 7 = 45, which is 45.

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    Solve 2x + 7 = 45: x = 19 (steps and check) | WordGPT