How To Solve For X In A Math Equation | Step-By-Step Guide For Isolating Variables

x + 3 = 3 (11 – 3x)

x = 3

To solve for x in the given equation, we need to isolate x on one side of the equal sign.

Step 1: Distribute the 3 outside the parentheses on the right-hand side of the equation:

x + 3 = 33 – 9x

Step 2: Add 9x to both sides to eliminate the x term on the right side:

10x + 3 = 33

Step 3: Subtract 3 from both sides to isolate the variable term:

10x = 30

Step 4: Solve for x by dividing both sides by 10:

x = 3

Therefore, the solution to the given equation is x = 3.

Checking the answer:
Substituting x = 3 back into the original equation:

3 + 3 = 3(11 – 3(3))

6 = 6

The left side of the equation is equal to the right side, so the solution x = 3 is correct.

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