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91Ó°ÊÓ

Solve and check each equation. \(6 x-3=63\)

Short Answer

Expert verified
The solution to the equation \(6x - 3 = 63\) is \(x = 11\).

Step by step solution

01

Isolate the x-term

There is a number that is being subtracted from \(6x\), which is \(3\). To isolate \(x\), add 3 to both sides of the equation. This will result in: \(6x = 63 + 3\)
02

Simplify the Equation

Simplify the right side of the equation by adding the numbers together. This results in: \(6x = 66\)
03

Solving for x

To solve for \(x\), we need to get rid of the 6 that is multiplied with \(x\). We do this by dividing both sides of the equation by 6: \(x = 66 / 6\)
04

Simplify the Equation

Perform the division operation on the right side of the equation. The answer is \(x = 11\).
05

Check the Solution

Replace \(x\) with 11 in the original equation \(6x - 3 = 63\) and make sure both sides of the equation are equal to verify the solution.

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