Solve for x in the equation: 6x – 27 + 3x = 4 + 9 – x
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Answer: A. 4
Explanation
The correct answer is four for the value of x in the linear equation. Combining like terms on both sides of the equation simplifies the expression. Dividing forty by ten isolates the variable x to yield a value of four. Linear equations are solved by collecting all variable terms on one side and constants on the other. Six x plus three x plus x equals ten x on the left side after moving negative x. Four plus nine plus twenty-seven equals forty on the right side of the equation.
Solving linear equations is a fundamental algebraic skill used across all scientific disciplines. Physics problems often reduce to simple linear equations to find unknown time or distance values. Business cost analysis uses linear equations to determine break-even production quantities. Option B fails to satisfy the equation because substituting five yields unequal sides. Option C is incorrect because six does not balance the constant and variable terms. Option D is wrong because negative four produces a sign mismatch in the linear balance.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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