Textbook Question
Solve each equation. | 5 - 3x | = 3
1. Equations & Inequalities
Linear Equations
Multiple Choice
Solve for :
A
B
C
D
Verified step by step guidance1
Start by expanding the left side of the equation \(5(x - 10) = 30 - 15x\) using the distributive property: multiply 5 by both \(x\) and \(-10\) to get \(5x - 50\).
Rewrite the equation with the expanded left side: \(5x - 50 = 30 - 15x\).
Next, collect all the \(x\) terms on one side of the equation. You can do this by adding \$15x$ to both sides: \(5x + 15x - 50 = 30\).
Simplify the left side by combining like terms: \(20x - 50 = 30\).
Then, isolate the \(x\) term by adding 50 to both sides: \(20x = 30 + 50\). Finally, solve for \(x\) by dividing both sides by 20: \(x = \frac{30 + 50}{20}\).
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