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Chapter 6: Problem 17

Solve and check each equation. \(4 x-14=-82\)

Short Answer

Expert verified
The solution to the equation is \(x = -17\).

Step by step solution

01

Bring constant on right to the left

Add 14 to both sides of the equation to keep the equation balanced. The equation now is \(4 x = -82 + 14 = -68\)
02

Solve for x

x is obtained by dividing the constant on the right side (-68) by the coefficient of x on the left side (4). Hence, \(x = -68/4 = -17\).
03

Substitute x into the original equation

Substitute x = -17 into the original equation \(4x - 14 = -82\). The calculation gives \(4*(-17) - 14 = -68 - 14 = -82\). The left side equals -82, which matches the right side as required.

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