Problem 44
Question
Solve the equation. $$ 5 x-7+x=19 $$
Step-by-Step Solution
Verified Answer
The solution to the equation \(5x - 7 + x = 19\) is \(x = 4.33\) (rounded to two decimal places)
1Step 1: Combine like terms
Observe that we have two x variables on the left-hand side of the equation, \(5x\) and \(x\). If we add these together, we end up with \(6x-7 = 19\)
2Step 2: Isolate the variable
Next, we want to isolate \(x\) on one side of the equation. To do this, we first get rid of the -7 by adding 7 to both sides of the equation which gives us \(6x = 26\). Lastly, divide both sides by 6 to solve for \(x\), thus \(x = 26/6 = 4.33\) (rounded to two decimal places)
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