Math

QuestionSolve the equation: 5x(x18)=62(x+15)5x - (x - 18) = 6 - 2(x + 15).

Studdy Solution

STEP 1

Assumptions1. The given equation is 5x(x18)=6(x+15)5x -(x-18) =6 -(x+15). We are asked to solve for xx
3. The equation is a linear equation

STEP 2

First, we simplify the equation by distributing the negative sign on the left side of the equation.
5xx+18=62(x+15)5x - x +18 =6 -2(x +15)

STEP 3

Next, we simplify the equation by distributing the negative2 on the right side of the equation.
5xx+18=62x305x - x +18 =6 -2x -30

STEP 4

Now, we simplify the equation by combining like terms on both sides of the equation.
4x+18=2x244x +18 = -2x -24

STEP 5

Next, we isolate the variable terms on one side of the equation by adding 2x2x to both sides of the equation.
4x+2x+18=2x+2x244x +2x +18 = -2x +2x -24

STEP 6

implify the equation by combining like terms.
6x+18=246x +18 = -24

STEP 7

Next, we isolate the variable by subtracting18 from both sides of the equation.
6x=24186x = -24 -18

STEP 8

implify the equation by combining like terms.
6x=426x = -42

STEP 9

Finally, we solve for xx by dividing both sides of the equation by6.
x=42/6x = -42 /6

STEP 10

implify the equation to find the value of xx.
x=7x = -7So, the solution to the equation 5x(x18)=62(x+15)5x -(x-18) =6 -2(x+15) is x=7x = -7.

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