Solving a Linear Equation

Definition: This is the process of finding the unknown value in a single variable equation where the power of the variable is 1.

Example: Solve the 2(x + 5) – 4 = 10

Solution:

Perform the reverse order of operations to make the variable the subject of the equation.

Step 1: Add 4 to both sides.

2(x + 5) – 4 + 4 = 10 + 4
2(x + 5) = 14

Step 2: Divide both sides by 2.

[2(x+5)]/2 = 14/2
x + 5 = 7

Step 3: Subtract 5 from both sides.

x + 5 – 5 = 7 – 5
x = 2

Optional Step 4: Test
2(2 + 5) – 4
2(7) – 4
14 – 4
10

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