What value of \( x \) makes the equation \( 4x - 5 = -6x + 15 \) true?

A. 2
B. 1
C. -5
D. -10

4x -5= -6x+15 separete terms by kind
4x + 6x = 15 + 5 calculate
10x = 20 divide all by 10
x = 2 ALTERNATIVE A

Answered by Ryan2 | 2024-06-10

The **solution **is Option A.
The **value **of x in the **equation **4x - 5 = -6x + 15 is x = 2
What is an Equation?
**Equations **are mathematical statements with two algebraic **expressions **flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the **expressions **printed on the left and right sides.
Coefficients , variables , operators , constants , terms , expressions , and the equal to sign are some of the components of an equation . The "=" sign and terms on both sides must always be present when writing an equation .
Given data ,
Let the **equation **be = A
Now , the value of **equation **A is
4x - 5 = -6x + 15 be **equation **(1)
Now , on **simplifying **the **equation **, we get
4x - 5 = -6x + 15
**Adding **6x on both sides of the **equation **,we get
10x - 5 = 15
**Adding **5 on both sides of the **equation **, we get
10x = 20
**Divide **by 2 on both sides of the equation , we get
x = 20/10
x = 2
Therefore , the **value **of x is 2
Hence , The **value **of x in the **equation **4x - 5 = -6x + 15 is x = 2
To learn more about **equations **click :
https://brainly.com/question/10413253
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Answered by psm22415 | 2024-06-16

The value of x that makes the equation 4 x − 5 = − 6 x + 15 true is 2. This is verified by substituting back into the equation, where both sides equal 3. Hence, the chosen multiple choice option is A.
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Answered by psm22415 | 2024-10-09