Question

Enter the value of x that makes the given equation true

12x = 3

Answer 1

Answer:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  12x - 3  =   3 • (4x - 1)  

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    4x-1 = 0  

Add  1  to both sides of the equation :  

                     4x = 1  

Divide both sides of the equation by 4:

                    x = 1/4 = 0.250  

One solution was found :

                  x = 1/4 = 0.250

Step-by-step explanation:

Answer 2

The value of x that makes the given equation true : $\large{\boxed{\bold{x=\frac{1}{4}}}$

Further Explanation

An equation means what is on the left is equal to what is on the right

The equation will be true if we put a value into the variable that makes the equation true.

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

$\large {\boxed {\bold {ax = b}}$

or

ax + b = c,

where a, b, and c are constants, x is a variable

There are several ways to solve an equation

• Add / Subtract / divide / multiply the same value on both sides
• Combine like terms
• Factoring
• Expanding

In the equation

12x = 3

we can solve with 2 ways :

• 1. dividing

we divide both sides by 12 to get the value x

12x: 12 = 3:12

$\displaystyle x=\frac{1}{4}$

• 2. factoring

we move number 3 to the left

12x-3 = 0

factoring :

3 (4x-1) = 0

3≠ 0 ---> no solution

4x-1 = 0

• add 1 to both sides

4x-1 + 1 = 0 + 1

4x = 1

• divide 4

4x: 4 = 1: 4

$\displaystyle x=\frac{1}{4}$

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Keywords : one variable, linear equation ,the value of x, solution, true