The value of x for the given linear equation is -24.5.
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
We have, a linear equation in one variable
[tex]\frac{4x}{7} -6=-20[/tex]
We solve the above equation in following steps
Step I : Adding 6 both the sides
[tex]\frac{4x}{7} = -20 + 6[/tex]
⇒[tex]\frac{4x}{7} = -14[/tex]
Step II: Multiply 7 both the sides
⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]
⇒ [tex]4x = -98[/tex]
Step III: Dividing both the sides by 4
⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]
⇒ [tex]x = -24.5[/tex]
Therefore, the value of x for the given linear equation is -24.5
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