Question

Solve and check
5(6x-1) = 3(8+x)-2

Answer 1

Answer:

5(6x-1)=3(-8+x)+2

We move all terms to the left:

5(6x-1)-(3(-8+x)+2)=0

We add all the numbers together, and all the variables

5(6x-1)-(3(x-8)+2)=0

We multiply parentheses

30x-(3(x-8)+2)-5=0

We calculate terms in parentheses: -(3(x-8)+2), so:

3(x-8)+2

We multiply parentheses

3x-24+2

We add all the numbers together, and all the variables

3x-22

Back to the equation:

-(3x-22)

We get rid of parentheses

30x-3x+22-5=0

We add all the numbers together, and all the variables

27x+17=0

We move all terms containing x to the left, all other terms to the right

27x=-17

x=-17/27

x=-17/27

Answer 2

Step-by-step explanation:

Let's solve your equation step-by-step.

5(6x−1)=3(8+x)−2

Step 1: Simplify both sides of the equation.

5(6x−1)=3(8+x)−2

(5)(6x)+(5)(−1)=(3)(8)+(3)(x)+−2(Distribute)

30x+−5=24+3x+−2

30x−5=(3x)+(24+−2)(Combine Like Terms)

30x−5=3x+22

30x−5=3x+22

Step 2: Subtract 3x from both sides.

30x−5−3x=3x+22−3x

27x−5=22

Step 3: Add 5 to both sides.

27x−5+5=22+5

27x=27

Step 4: Divide both sides by 27.

27x27=2727

x=1

Answer:

x=1