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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