Math

QuestionSolve for xx in the equation: 62x=6x10x+106 - 2x = 6x - 10x + 10.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 6x=6x10x+106-x=6x-10x+10. . The variable is xx.

STEP 2

First, simplify the right side of the equation by combining like terms.
62x=6x10x+106-2x=6x-10x+10becomes62x=4x+106-2x=-4x+10

STEP 3

Now, rearrange the equation to get all the terms involving xx on one side and the constants on the other side.To do this, add xx to both sides of the equation62x+x=x+10+x6-2x+x=-x+10+x

STEP 4

implify both sides of the equation6+2x=106+2x=10

STEP 5

Next, subtract from both sides of the equation to isolate the terms involving $x+2x=10+2x-=10-$

STEP 6

implify both sides of the equation2x=42x=4

STEP 7

Finally, divide both sides of the equation by 22 to solve for xx2x2=42\frac{2x}{2}=\frac{4}{2}

STEP 8

implify both sides of the equation to find the value of xxx=2x=2So, the solution to the equation 62x=6x10x+106-2x=6x-10x+10 is x=2x=2.

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