Question

solve this...
1/4x+1/6x=x-7

Answer 1

x in (-oo:+oo)

(1/4)*x+(1/6)*x = x-7 // - x-7

(1/4)*x+(1/6)*x-x+7 = 0

7-7/12*x = 0 // - 7

-7/12*x = -7 // : -7/12

x = -7/(-7/12)

x = 12

x = 12

Answer 2

Concept: The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution.

Equation with a linear solution in one variable is one with a maximum of one variable of order 1. It has the formula ax + b = 0, with x serving as the variable.

There is just one answer to this equation. Several instances are:

• 3x = 1
• 22x-1=0
• 4x+9=-11

Standard Form of One-Variable Linear Equations

ax + b = 0

Given: $\frac{1}{4} x + \frac{1}{6} x = x-7$

To find: the value of x

Solution: $\frac{1}{4} x + \frac{1}{6} x = x-7$        

On L.H.S, we will take the LCM of 4 and 6 in order to make it equivalent

Therefore, $\frac{3x + 2x}{12} = x - 7$

$\frac{5x}{12} = x-7\\5x = 12(x-7)\\5x = 12x - 84\\12x -5x = 84\\7x = 84\\x = \frac{84}{7} \\x = 12$

Hence, the value of x = 12.

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