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Chapter 6: Problem 26

Solve and check each equation. \(2 x-7=6+x\)

Short Answer

Expert verified
The solution to the equation \(2x - 7 = 6 + x \) is \(x = 13\).

Step by step solution

01

Arrange the Variables on One Side

To solve for the variable 'x' , we first need to get all the 'x' terms to one side of the equation. We can do this by subtracting 'x' from each side of the equation. This gives us \(2x - x = 6 + 7\).
02

Simplify Each Side of the Equation

The left hand side simplifies to 'x' and the right hand side simplifies to '13'. Thus, the equation becomes \(x = 13\).
03

Check the Solution

We can check our answer by substituting '13' for 'x' in the initial given equation. working out the left hand side we get \(2*13 - 7 = 19\) and the right hand side gives \(6 + 13 = 19 \). Since they are equal, this confirms that our solution is correct.

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Most popular questions from this chapter

Use FOIL to find the products. \((3 x-7)(4 x-5)\)

Solve the equations using the quadratic formula. \(x^{2}-3 x=10\)

Solve the quadratic equations by factoring. \(x^{2}+7 x=18\)

Use FOIL to find the products in Exercises 1-8. \((x+3)(x+5)\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}+8 x+15\)
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