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
[tex]\frac{-12x}{12} = \frac{12}{12}[/tex]
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
