QuestionSolve for $x$ : $6(4x + 5) = 3x - 4(-4x - 1) + 5$

Studdy Solution

STEP 1

Assumptions1. We are solving for $x$ in the equation $6(4x+5)=3x-4(-4x-1)+5$ . . The equation is a linear equation.

STEP 2

First, we need to simplify the equation. We can do this by distributing the multiplication across the terms in the parentheses on both sides of the equation.
$6(4x+5) =24x +30$ $x-4(-4x-1) =x +16x +4$

STEP 3

Now, substitute these simplified expressions back into the original equation.
$24x +30 =3x +16x + +5$

STEP 4

Combine like terms on both sides of the equation.
$24x +30 =19x +9$

STEP 5

Subtract $19x$ from both sides of the equation to isolate $x$ on one side.
$24x -19x +30 =9$ $5x +30 =9$

STEP 6

Subtract $30$ from both sides of the equation to isolate $x$ .
$5x =9 -30$ $5x = -21$

STEP 7

Finally, divide both sides of the equation by $5$ to solve for $x$ .
$x = -21 /5$

STEP 8

Calculate the value of $x$ .
$x = -21 /5 = -4.2$ So, $x = -4.2$ .

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