3x + 8 = (4x-6) + 8
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your Q X=6
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Given:
3x + 8 = (4x - 6) + 8
What To Find:
We have to find the value of x.
Solution:
3x + 8 = (4x - 6) + 8
Remove the brackets,
⇒ 3x + 8 = 4x - 6 + 8
Take 3x to RHS,
⇒ 8 = 4x - 6 + 8 - 3x
Add -6 and 8,
⇒ 8 = 4x + 2 - 3x
Take 2 to LHS,
⇒ 8 - 2 = 4x - 3x
Subtract 2 from 8,
⇒ 6 = 4x - 3x
Subtract 3x from 4x,
⇒ 6 = x
∴ Thus, the value of x is 6.
Verification:
3x + 8 = (4x - 6) + 8
Remove the brackets,
⇒ 3x + 8 = 4x - 6 + 8
Substitute the value,
⇒ 3 × 6 + 8 = 4 × 6 - 6 + 8
Solve the LHS,
⇒ 26 = 4 × 6 - 6 + 8
SLove the RHS,
⇒ 26 = 26
∴ LHS = RHS, hence checked.
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