## Intermediate Algebra for College Students (7th Edition)

conditional equation; solution: $x=\frac{3}{2}$
Distribute 4 on the left side and distribute 5 on the right side to obtain: $4x-12+5=x+5x-10$ Simplify each side of the equation by combining like terms: $4x-7=6x-10$ Subtract $4x$ on both sides of the equation to obtain: $-7=2x-10$ Add 10 on both sides of the equation to obtain: $3=2x$ Divide $2$ on both sides of the equation to obtain: $\frac{3}{2}=x$ The given equation has $x=\frac{3}{2}$ as a solution therefore it is a conditional equation.