Beginning & Intermediate Algebra
To solve the equation 0.05x−1.2=0.30.05x - 1.2 = 0.3, which operation correctly clears the decimals while preserving the solution set?
Solve the equation for xx: 4(x−3)+2=2x+104(x - 3) + 2 = 2x + 10
Solve for xx: 25x−34=110x+78\(\displaystyle\]\frac{2}{5}\)x-\(\frac{3}{4}\)=\(\frac{1}{10}\)x+\(\frac{7}{8}\)
Simplify the following equation and classify it as an identity, a conditional equation, or a contradiction. State its solution set.
2x+4−(x+2)=x+3−(2x−1)2x + 4 - (x + 2) = x + 3 - (2x - 1)
A pharmacist combines 38x\(\displaystyle\) \(\frac{3}{8}\)x liters of Solution A with 14x\(\displaystyle\) \(\frac{1}{4}\)x liters of Solution B to create a 22-liter mixture. By clearing the fractions first, determine the value of the scale factor xx.