Question

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Answer 1

To solve the given linear equation, 4x - 2 = 18, begin by adding 2 to both sides of the equation in order to begin isolating the variable x on one side, in this case the left side, as follows:

4x - 2 = 18 (Given)

4x - 2 + 2 = 18 + 2

4x + 0 = 20

4x = 20

Now, divide both sides of the equation by 4 in order to isolate x on the left side, thus finally solving the equation for x as follows:

(4x)/4 = 20/4

(4/4)x = 20/4

(1)x = 5

x = 5

CHECK (ALWAYS PERFORM THIS STEP AND DO SO BACK IN THE ORIGINAL, GIVEN EQUATION!):

4x - 2 = 18

4(5) - 2 = 18

20 - 2 = 18

18 = 18

Therefore, x = 5 is indeed the solution to the given equation.

REMEMBER: For solving equations, WHATEVER YOU DO TO ONE SIDE OF THE EQUATION, YOU MUST DO TO THE OTHER SIDE.

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