Question
Solve these equation and check the solution.
4(m + 6) – 8 = 2m – 4
4(m + 6) – 8 = 2m – 4
✓
Answer
4(m + 6) – 8 = 2m – 4
Apply the distributive property
4m + 24 – 8 = 2m – 4
⇒ 4m + 16 = 2m – 4
Subtract 2m from both sides
4m + 16 – 2m = 2m – 4 – 2m
⇒ 2m + 16 = -4
Subtract 16 from both sides
2m + 16 – 16 = -4 – 16
⇒ 2m = -20
Divide by 2 on both sides
2m ÷ 2 = -20 ÷ 2
⇒ m = -10
Check:
LHS = 4(m + 6) – 8
= 4(-10 + 6) – 8
= 4(-4) – 8
= -16 – 8
= -24
RHS = 2m – 4
= 2(-10) – 4
= -20 – 4
= -24
LHS = RHS
Hence checked.
Apply the distributive property
4m + 24 – 8 = 2m – 4
⇒ 4m + 16 = 2m – 4
Subtract 2m from both sides
4m + 16 – 2m = 2m – 4 – 2m
⇒ 2m + 16 = -4
Subtract 16 from both sides
2m + 16 – 16 = -4 – 16
⇒ 2m = -20
Divide by 2 on both sides
2m ÷ 2 = -20 ÷ 2
⇒ m = -10
Check:
LHS = 4(m + 6) – 8
= 4(-10 + 6) – 8
= 4(-4) – 8
= -16 – 8
= -24
RHS = 2m – 4
= 2(-10) – 4
= -20 – 4
= -24
LHS = RHS
Hence checked.
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