QuestionSolve the equation: $3(2 x-5)-4 x+8=-1$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $3( x-5)-4 x+8=-1$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $$ to both terms in the parentheses.
$(2 x-5) =6x -15$ So, the equation becomes $6x -15 -4x +8 = -1$

STEP 3

Next, we combine like terms on the left side of the equation.
$6x -x -15 +8 = -1$ This simplifies to $2x -7 = -1$

STEP 4

To isolate $x$ , we first add $7$ to both sides of the equation to move the constant term from the left side to the right side.
$2x -7 +7 = -1 +7$ This simplifies to $2x =6$

STEP 5

Finally, we divide both sides of the equation by $2$ to solve for $x$ .
$2x /2 = /2$ This simplifies to $x =3$ So, the solution to the equation is $x =3$ .

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QuestionSolve the equation: $3(2 x-5)-4 x+8=-1$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $3( x-5)-4 x+8=-1$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $$ to both terms in the parentheses.
$(2 x-5) =6x -15$ So, the equation becomes $6x -15 -4x +8 = -1$

STEP 3

Next, we combine like terms on the left side of the equation.
$6x -x -15 +8 = -1$ This simplifies to $2x -7 = -1$

STEP 4

To isolate $x$ , we first add $7$ to both sides of the equation to move the constant term from the left side to the right side.
$2x -7 +7 = -1 +7$ This simplifies to $2x =6$

STEP 5

Finally, we divide both sides of the equation by $2$ to solve for $x$ .
$2x /2 = /2$ This simplifies to $x =3$ So, the solution to the equation is $x =3$ .

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QuestionSolve the equation: 3(2x−5)−4x+8=−13(2 x-5)-4 x+8=-13(2x−5)−4x+8=−1.

Studdy Solution

STEP 1

Assumptions1. The equation given is 3(x−5)−4x+8=−13( x-5)-4 x+8=-13(x−5)−4x+8=−1 . We are solving for the variable xxx

STEP 2

First, we need to distribute the $$ to both terms in the parentheses.(2x−5)=6x−15(2 x-5) =6x -15(2x−5)=6x−15So, the equation becomes6x−15−4x+8=−16x -15 -4x +8 = -16x−15−4x+8=−1

STEP 3

Next, we combine like terms on the left side of the equation.6x−x−15+8=−16x -x -15 +8 = -16x−x−15+8=−1This simplifies to2x−7=−12x -7 = -12x−7=−1

STEP 4

To isolate xxx, we first add 777 to both sides of the equation to move the constant term from the left side to the right side.2x−7+7=−1+72x -7 +7 = -1 +72x−7+7=−1+7This simplifies to2x=62x =62x=6

STEP 5

Finally, we divide both sides of the equation by 222 to solve for xxx.2x/2=/22x /2 = /22x/2=/2This simplifies tox=3x =3x=3So, the solution to the equation is x=3x =3x=3.

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QuestionSolve the equation: $3(2 x-5)-4 x+8=-1$ .

Assumptions1. The equation given is $3( x-5)-4 x+8=-1$ . We are solving for the variable $x$

First, we need to distribute the $$ to both terms in the parentheses.
$(2 x-5) =6x -15$ So, the equation becomes $6x -15 -4x +8 = -1$

Next, we combine like terms on the left side of the equation.
$6x -x -15 +8 = -1$ This simplifies to $2x -7 = -1$

To isolate $x$ , we first add $7$ to both sides of the equation to move the constant term from the left side to the right side.
$2x -7 +7 = -1 +7$ This simplifies to $2x =6$

Finally, we divide both sides of the equation by $2$ to solve for $x$ .
$2x /2 = /2$ This simplifies to $x =3$ So, the solution to the equation is $x =3$ .