Question

Solve for X: 25-6(x-4) = x

Answer 1

Answer:

x= -49/5

Step-by-step explanation:

given that,

25-6(x-4) = x

25-6x+24=x

49+6x=x

49+6x-x=0

49+5x=0

5x=-49

x= -49/5

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Answer 2

Given data: The equation $25-6(x-4)=x$

To Find: The value for x in the given equation.

Solution:

• In the order of operations, the multiplication has to be done first before doing subtraction.
• Hence, use the distributive law of multiplication over subtraction, $a(b-c)=ab-ac$.
• The equation can be written as, $25-(6x-24)=x$
• Simplify the equation.
• $25-6x+24=x$
• $49-6x=x$
• Transpose the value of 49 to left and x to right.
• $-x-6x=-49$
• $-7x=-49$
• Transpose the value 7 to the right.
• $-x=\frac{-49}{7}$
• $-x=-7$
• Since, both side of the expression has negative sign, it gets cancelled.
• $x=7$
• Therefore, the required value of x in the given equation $25-6(x-4)=x$ is $x=7$.