Question

In the equation, what is the value of x? 1/4(x+4x)+12= 1/2(2−x)+10

a) -4/7
b) -7/4
c) 4/7
d) 7/4

Answer 1

To find the value of x in the equation, we first simplified it by combining like terms and then used basic algebraic steps to isolate x. The final value of x is -4/7, which matches option a).

Step-by-step explanation:

To find the value of x in the equation 1/4(x+4x)+12= 1/2(2−x)+10, we need to simplify and solve for x.

• Combine like terms within the parentheses: 1/4(5x) + 12 = 1/2(2 - x) + 10.
• Multiply both sides by 4 to eliminate the denominator on the left: 5x + 48 = 2(2 - x) + 40.
• Distribute and combine like terms: 5x + 48 = 4 - 2x + 40.
• Add 2x to both sides and subtract 48 from both sides: 7x = -4.
• Divide both sides by 7 to solve for x: x = -4/7.

Therefore, the value of x is -4/7, which corresponds to option a).