verify these in linear equations
5(x-4) -1=7x+3
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Given:
5(x - 4) - 1 = 7x + 3
What To Find:
Value of x and verify the eqaution.
Solution:
5(x - 4) - 1 = 7x + 3
Solve the brackets,
⇒ 5x - 20 - 1 = 7x + 3
Subtract 1 from - 20,
⇒ 5x - 21 = 7x + 3
Take 3 to LHS and 5x to RHS
⇒ -21 - 3 = 7x - 5x
Solve the LHS and RHS,
⇒ -24 = 2x
Take 2 to LHS,
⇒ -24/2 = x
Divide,
⇒ -12 = x
Verification:
5(x - 4) - 1 = 7x + 3
Substitute the values,
⇒ 5(-12 - 4) - 1 = 7(-12) + 3
Solve the brackets,
⇒ 5(-16) - 1 = -84 + 3
Remove the brackets,
⇒ -80 - 1 = -81
Solve the LHS,
⇒ -81 = -81
∴ LHS = RHS
∴ Hence, verified.
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