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Solve the following equation for
x. Express your answer in the simplest form.

4(7x+5)=28 x+21

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $4(7 x+5)=28 x+21$ $\newline$

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Write and solve direct variation equations

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

4(7 x+5)=28 x+21

\newline

Distribute terms: Distribute the $4$ on the left side of the equation. $\newline$ We need to apply the distributive property to the left side of the equation to simplify it. $\newline$ $4(7x) + 4(5) = 28x + 21$ $\newline$ $28x + 20 = 28x + 21$
Subtract $28x$ : Subtract $28x$ from both sides to get the variables on one side and the constants on the other. $\newline$ Subtracting $28x$ from both sides will help us isolate the variable term. $\newline$ $(28x + 20) - 28x = (28x + 21) - 28x$ $\newline$ $20 = 21$
Analyze result: Analyze the result. $\newline$ We have arrived at a statement that says $20 = 21$ , which is not true. This indicates that there is no solution to the equation, as the variable $x$ has been eliminated and we are left with a false statement.

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