Source Equations

1. $4(3x + 2) - 5(x - 1) = 3x + 14$
2. $ rac{2y + 5}{4} + rac{3y - 1}{2} = 5$
3. $ rac{5}{x + 2} + rac{2}{x - 2} = 3$
4. $8(3b - 5) + 4(b + 2) = 60$
5. $2c^2 - 3c - 5 = 0$
6. $4(2d - 1) + 5(3d + 2) = 7d + 28$
7. $q^2 + 6q + 9 = 16$

Result Equations

1. $x = rac{1}{4}$
2. $y = rac{17}{8}$
3. $z = rac{7}{3}$
4. $x = 1$ or $x = -6$
5. $a = rac{1}{3}$ or $a = 2$
6. $x = - rac{2}{3}$ or $x = 3$
7. $b = rac{23}{7}$

Step by Step

1. Distribute: $12x + 8 - 5x + 5 = 3x + 14$
2. Combine like terms: $7x + 13 = 3x + 14$
3. Subtract $3x$: $4x + 13 = 14$
4. Subtract $13$: $4x = 1$
5. Divide by $4$: $x = rac{1}{4}$