Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 19, 2023

Solve for $x$ in the equation $-2(x-3)-4x=x-8-4x$ .

STEP 1

Assumptions1. The equation is $-(x-3)-4x=x-8-4x$ . We are solving for $x$

STEP 2

First, distribute the $-2$ to both terms inside the parentheses on the left side of the equation.
$-2(x-)-4x=-2x+6-4x$

STEP 3

Combine like terms on the left side of the equation.
$-2x+6-x=-6x+6$

STEP 4

implify the right side of the equation by combining like terms.
$-6x+6=x-8-4x$

STEP 5

implify the right side of the equation by combining like terms.
$-x+=-3x-8$

STEP 6

To isolate $x$ , we'll first get rid of the $-3x$ on the right side by adding $3x$ to both sides of the equation.
$-6x+3x+6=-3x+3x-8$

STEP 7

implify both sides of the equation by combining like terms.
$-3x+6=-$

STEP 8

Next, isolate $x$ by getting rid of the $6$ on the left side. We can do this by subtracting $6$ from both sides of the equation.
$-3x+6-6=-8-6$

STEP 9

implify both sides of the equation by performing the subtraction.
$-3x=-14$

STEP 10

Finally, solve for $x$ by dividing both sides of the equation by $-3$ .
$x=-14/-3$

STEP 11

implify to find the value of $x$ .
$x=14/3$ So, the solution to the equation is $x=14/3$ .

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