Add: 1/2(x+4)+1/4(4x−2) .

5 answers

To simplify the expression 1/2(x + 4) + 1/4(4x - 2), we'll first distribute the 1/2 and 1/4 across the parentheses.

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

Simplifying further,

= 1/2x + 2/2 + 4/4x - 2/4

= 1/2x + 1 + x - 1/2

= (1/2x + x) + (1 - 1/2)

= (3/2x) + (1/2)

So, the simplified form of 1/2(x + 4) + 1/4(4x - 2) is (3/2x) + (1/2).
wrong
I apologize for the mistake.

To simplify the expression 1/2(x + 4) + 1/4(4x - 2), we'll first distribute the fractions across the parentheses.

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

Simplifying further,

= 1/2x + 2/2 + 4/4x - 1/2

= 1/2x + 1 + x - 1/2

Combine like terms,

= (1/2x + x) + (1 - 1/2)

= (3/2x) + (1/2)

So, the simplified form of 1/2(x + 4) + 1/4(4x - 2) is (3/2x) + (1/2).
still wrong
I apologize for the persistent errors. Let's try solving the expression correctly:

To simplify 1/2(x + 4) + 1/4(4x - 2), we'll begin by distributing the fractions across the parentheses:

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

= (1/2)x + 2/2 + (1/4)(4x) - (1/4)(2)

= (1/2)x + 1 + (1/4)(4x) - (1/4)(2)

= (1/2)x + 1 + (1/4)(4x) - 1/2

Next, we'll simplify each fractional coefficient:

= (1/2)x + 1 + (4/4)(x) - 1/2

= (1/2)x + 1 + (x) - 1/2

Combining like terms:

= (1/2)x + x + 1 - 1/2

= (1/2 + 2/2)x + 2/2 - 1/2

= (3/2)x + 1/2

Therefore, the simplified form of 1/2(x + 4) + 1/4(4x - 2) is (3/2)x + 1/2.