20 – 3(2 + t) = 2t + 4
Solution
Sure, let's solve the equation step by step:
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Distribute the -3 in the parentheses on the left side of the equation: 20 - 3*2 - 3t = 2t + 4. This simplifies to 20 - 6 - 3t = 2t + 4.
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Simplify the left side of the equation: 14 - 3t = 2t + 4.
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Move the -3t from the left side of the equation to the right side by adding 3t to both sides: 14 = 5t + 4.
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Subtract 4 from both sides of the equation to isolate the term with t on the right side: 14 - 4 = 5t. This simplifies to 10 = 5t.
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Finally, divide both sides of the equation by 5 to solve for t: 10 / 5 = t. This simplifies to t = 2.
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