Add: 12(x+4)+14(4x−2)

. Answer should be in mixed number form.

5 answers

To solve this equation, we will distribute the coefficients and simplify the expression:

12(x+4) + 14(4x-2)
= 12*x + 12*4 + 14*4x - 14*2
= 12x + 48 + 56x - 28
= 68x + 20

The final expression, 68x + 20, cannot be simplified any further.
Add: 1/2(x+4)+1/4(4x−2)
. Answer should be in mixed number form.
To solve this equation, we will distribute the coefficients and simplify the expression:

1/2(x+4) + 1/4(4x-2)
= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
= 1/2x + 2/2 + 1x - 1/2
= 1/2x + 1x + 2/2 - 1/2
= 3/2x + 1.5 - 0.5
= 3/2x + 1

The final expression, in mixed number form, is 3/2x + 1.
nope
Apologies for the mistake. Let's try solving it correctly again:

To solve this equation, we will distribute the coefficients and simplify the expression:

1/2(x+4) + 1/4(4x−2)
= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
= 1/2x + 2/2 + 4/4x - 2/4
= 1/2x + 1 + x - 1/2
= 1/2x + x + 1 - 1/2
= (1/2x + x) + (1 - 1/2)
= (3/2x) + (1/2)
= 3/2x + 1/2

The final expression, in mixed number form, is 3/2x + 1/2.
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