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solve the equation. be sure to check your proposed solution by substitu…

Question

solve the equation. be sure to check your proposed solution by substituting it for the variable in the original equation. 4x + 5 = 37

Explanation:

Step1: Isolate the term with x

Subtract 5 from both sides of the equation $4x + 5=37$.
$4x+5 - 5=37 - 5$
$4x=32$

Step2: Solve for x

Divide both sides of the equation $4x = 32$ by 4.
$\frac{4x}{4}=\frac{32}{4}$
$x = 8$

Step3: Check the solution

Substitute $x = 8$ into the original equation $4x+5=37$.
Left - hand side: $4\times8 + 5=32 + 5=37$
Right - hand side: 37
Since the left - hand side equals the right - hand side, the solution is correct.

Answer:

$x = 8$