What value of x makes the equation, -3 + 4x + 3(4x + 8)=4(7x + 3)-3 true?
1 answer:
Answer:
x = 1
Step-by-step explanation:
-3 + 4x + 3(4x + 8) = 4(7x + 3) - 3
first, solve the brackets by using the distributive property of multiplication:
3(4x + 8) = 12x + 24
4(7x + 3) = 28x + 12
rewrite equation:
-3 + 4x + 12x + 24 = 28x + 12 - 3
combine like terms:
16x + 21 = 28x + 9
subytact 21 on both sides:
16x + 21 - 21 = 28x + 9 - 21
16x = 28x - 12
subtract 28x on both sides:
16x - 28x = 28x - 28x - 12
-12x = -12
divide both sides by 12
x = 1
to check, substitute 1 for x:
-3 + 4(1) + 3(4(1) + 8) = 4(7(1) + 3) - 3
-3 + 4 + 12 + 24 = 28 + 12 - 3
37 = 37
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