Question

Solve each of the following equations and check your answers:
5(x − 2) + 3(x + 1) = 25

Answer 1

5(x − 2) + 3(x + 1) = 25
On expanding the brackets, we get
⇒ (5 $\times$ x) $-$ (5 $\times$ 2) + (3 $\times$ x) + (3$\times$1) = 25
⇒ 5x $-$ 10 + 3x + 3 = 25
⇒ 5x + 3x $-$ 10 + 3 = 25
⇒ 8x $-$ 7 = 25
Adding 7 to both sides, we get
⇒ 8x $-$ 7 + 7 = 25 +7
⇒ 8x = 32
Dividing both sides by 8, we get
⇒ $\frac{8x}{8}=\frac{32}{8}$
⇒ x = 4

Verification:
Substituting x = 4 in LHS, we get

= 5(4 − 2) + 3(4 + 1)
= 5(2) + 3(5)
= 10 + 15
= 25
= RHS
LHS = RHS
Hence, verified.