/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 29 Solve and check each equation. ... [FREE SOLUTION] | 91影视

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Chapter 6: Problem 29

Solve and check each equation. \(7 x+4=x+16\)

Short Answer

Expert verified
The solution of the equation is \(x = 2\).

Step by step solution

01

Isolate \(x\) terms on one side

To isolate \(x\), subtract \(x\) from both sides of the equation. That will give us \(7x - x = 16 - 4\). Simplifying this results in \(6x = 12\).
02

Solve for \(x\)

To find the value of \(x\), divide both sides of the equation by \(6\). We get \(x = \frac{12}{6}\). Simplifying this gives us \(x = 2\).
03

Check the solution

To check the solution, substitute \(x = 2\) back into the original equation. The expression becomes \(7 * 2 + 4 = 2 + 16\). Simplifying both sides of this equation yields \(18 = 18\), proving that the solution is correct.

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Most popular questions from this chapter

Solve each equation by the method of your choice. \(x(x+1)=4-(x+2)(x+2)\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-x-2\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-9 x+81\)

Solve: \(x^{2}+2 \sqrt{3} x-9=0\).

Factor the trinomials in Exercises 9-32, or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}+5 x+6\)
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