Intermediate Algebra
Simplify and solve: −3(2x+5)+4x=7-3(2x + 5) + 4x = 7
Solve the following equation for xx: 13x−56=12\(\displaystyle\]\frac{1}{3}\)x-\(\frac{5}{6}\)=\(\frac{1}{2}\)
Solve for xx: 25x−34=110x+78\(\displaystyle\]\frac{2}{5}\)x-\(\frac{3}{4}\)=\(\frac{1}{10}\)x+\(\frac{7}{8}\)
Classify the following equation as a conditional equation, an identity, or a contradiction, and state its solution set: 5(x+2)=5x+105(x + 2) = 5x + 10
Consider the equation 14x=3\(\displaystyle\]\frac{1}{4}\)x=3. If you multiply both sides by 00 to eliminate the fraction, does this operation preserve the original solution set? Justify your answer.
