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Solve 4x + 7 = 43

The solution of 4x + 7 = 43 is x = 9.

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The lines y = 4x + 7 and y = 43 meet at x = 9468101214203040506070x = 9y = 4x + 7y = 43
The lines y = 4x + 7 and y = 43 meet at x = 9. 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.

    4x+7=434x + 7 = 43
  2. 2

    Subtract 7 from both sides:

    4x+7−7=43−7 ⇒ 4x=364x + 7 - 7 = 43 - 7 \ \Rightarrow\ 4x = 36
  3. 3

    Divide both sides by 4:

    4x4=364 ⇒ x=9\frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    4⋅9+7=36+7=43✓4\cdot9 + 7 = 36 + 7 = 43 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 7 = 43\ \Rightarrow\ x = 9 \]
\[ 4x + 7 = 43 \]
\[ 4x + 7 - 7 = 43 - 7 \ \Rightarrow\ 4x = 36 \]
\[ \frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9 \]
\[ 4\cdot9 + 7 = 36 + 7 = 43 \checkmark \]

Trying values of x in 4x + 7 = 43

x4x + 7Equals 43?
735no
839no
943yes
1047no
1151no

Questions

What is x in 4x + 7 = 43?

The solution of 4x + 7 = 43 is x = 9.

How do you solve 4x + 7 = 43?

Subtract 7 from both sides to get 4x = 36, then divide both sides by 4 to get x = 9.

How do I check the answer?

Replace x by 9: 4(9) + 7 = 43, which is 43.

Similar equations

    Solve 4x + 7 = 43: x = 9 (steps and check) | WordGPT