To solve the equation 1/4(x+3) += 5, follow the steps below:
1. Distribute the 1/4 to both terms inside the parentheses:
1/4 * x + 1/4 * 3 += 5
Simplify:
1/4 * x = x/4
1/4 * 3 = 3/4
The equation becomes:
x/4 + 3/4 += 5
2. Combine like terms on the left side of the equation:
x/4 + 3/4 += 5
3/4 is added to x/4, so the combined fractions become:
(x+3)/4 += 5
3. Multiply both sides of the equation by 4 to eliminate the fraction:
4 * [(x+3)/4] = 4 * 5
Simplify:
(4/4) * (x+3) = 20
The equation becomes:
x + 3 = 20
4. Subtract 3 from both sides of the equation to isolate x:
x + 3 - 3 = 20 - 3
Simplify:
x = 17
Therefore, the solution to the equation 1/4 (x+3) += 5 is x = 17.
1/4 (x+3) += 5 show me the steps
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