Final answer
To solve the equation x+(a-4)=(a+4)x for x, we need to isolate x on one side of the equation. Here's how:
1. Start by subtracting x from both sides:
x - x + (a-4) = (a+4)x - x
2. Simplify the left side:
(a-4) = (a+4)x - x
3. Subtract x from both sides again:
(a-4) - x = (a+4)x - x - x
4. Simplify the left side:
a-5 = (a+4)x - 2x
5. Isolate x on the right side by subtracting (a+4)x from both sides:
a-5 = -2x + (a+4)x
6. Combine like terms:
a = 3x + 5
7. Divide both sides by 3 to isolate x:
x = (a-5)/3
Step-by-step explanation:
To solve the equation x+(a-4)=(a+4)x for x, we need to follow a systematic approach to isolate the variable on one side of the equation. Here's how we did it:
1. Start by subtracting x from both sides of the equation:
x - x + (a-4) = (a+4)x - x
2. Simplify the left side by combining like terms:
(a-4) = (a+4)x - x
3. Subtract x from both sides again to get rid of it on the left side:
(a-4) - x = (a+4)x - x - x
4. Simplify the left side by combining like terms:
a-5 = (a+4)x - 2x
5. Isolate x on the right side by subtracting (a+4)x from both sides:
a-5 = -2x + (a+4)x
6. Combine like terms on the right side to get a single expression for x:
a = 3x + 5
7. Divide both sides by 3 to isolate the variable and find its value in terms of a and other constants in the problem:
x = (a-5)/3