Solve Linear Equation: -6(7x-6)-(-5-8x)=0 Step by Step

Question

6(7x6)(58x)=0 -6(7x-6)-(-5-8x)=0

Video Solution

Solution Steps

00:00 Solve
00:03 Open parentheses properly, multiply by each factor
00:06 Negative times negative always equals positive
00:16 Collect terms
00:28 Arrange the equation so that only the unknown X is on one side
00:35 Isolate X
00:41 And this is the solution to the question

Step-by-Step Solution

We will use the extended division rule and the formula:

a(x+b)=ax+ab a(x+b)=ax+ab

42x+36+5+8x=0 -42x+36+5+8x=0

Let's input the appropriate terms:

34x+41=0 -34x+41=0

We'll move -34x to the right side and maintain the appropriate sign:

41=34x 41=34x

Let's divide both sides by 34:

4134=34x34 \frac{41}{34}=\frac{34x}{34}

4134=x \frac{41}{34}=x

We'll convert the simple fraction to a mixed fraction:

x=1734 x=1\frac{7}{34}

Answer

1741 1\frac{7}{41}