Textbook Question
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. -6(2x+1) - 3(x-4) = -15x+1
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1. Equations & Inequalities
Linear Equations
Multiple Choice
Solve for : .
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Verified step by step guidance1
Start with the given equation: \$6(x - 1) = 9(x + 2)$.
Apply the distributive property to both sides: multiply 6 by each term inside the parentheses on the left, and 9 by each term inside the parentheses on the right. This gives \$6x - 6 = 9x + 18$.
Next, collect all terms containing \(x\) on one side and constant terms on the other side. For example, subtract \$6x$ from both sides and subtract 18 from both sides to isolate the variable terms.
Simplify the resulting equation to get an expression in the form \(ax = b\), where \(a\) and \(b\) are constants.
Finally, solve for \(x\) by dividing both sides of the equation by the coefficient \(a\).
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