# Solve the equation for x6(4x - 10) = 84

## Answers

6 * 4x = 24x

6 * 5 = 30

3 * x = 3x

3 * 8 = 24

24x + 30 = 3x + 24 + 3

24x + 30 = 3x + 27

subtract 3x from both sides

21x + 30 = 27

subtract 30 from both sides

21x = -3

divide both sides by 21

x = -1/7

6(4x + 5) = 3(x + 8) + 3

24x + 30 = 3x + 24 + 3

24x + 30 = 3x + 27

24x - 3x = 27 - 30

21x = - 3

x = -3/21

x = - 0.143 <==

6(4x + 5) = 3(x + 8) + 3

= 24x + 30 = 3x + 24 + 3

24x + 30 = 3x + 27

21x + 30 = 27

21x = -3

21x/21 = -3/21

x = -1/7

Or 0.143 (3 dec)

6(4x+5)=3(x+8)+3

24x+30 = 3x+24+3

24x-3x = 24+3-30

21x = -3

x = -3/21 = -0,14

6(4x+5)=3(x+8)+3

24x+30=3x+24+3

(subtract 3x and 27 from each side)

21x+3=0

21x= -3

x= -3/21

x= -.14

6(4x + 5) = 3(x + 8) + 3 Multiply 6 into (4x + 5)

24x + 30 = 3(x + 8) + 3 Multiply 3 into (x + 8)

24x + 30 = 3x + 24 + 3 Combine like terms

24x + 30 = 3x + 27 Subtract 3x on both sides

21x + 30 = 27 Subtract 30 on both sides

21x = -3 Divide 21 on both sides

x = -0.14

6(4x + 5) = 3(x + 8) + 3

Distribute

24x + 30 = 3x + 24 + 3

Move like terms to be on the same side

24x - 3x = 24 + 3 - 30

21x = 27 - 30

21x = -3

x = -3/21

x = -1/7

x = -0.142857

If its rounded to the nearest hundredth, your answer is:

-0.14

[tex]\boxed {x = -\frac{1}{7}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]6(4x + 5) = 3(x + 8) + 3[/tex]

-Use Distributive Property:

[tex]6(4x + 5) = 3(x + 8) + 3[/tex]

[tex]24x + 30 = 3x + 24 + 3[/tex]

-Combine like terms:

[tex]24x + 30 = 3x + 24 + 3[/tex]

[tex]24x + 30 = 3x + 27[/tex]

-Take [tex]3x[/tex] and subtract it from [tex]24x[/tex]:

[tex]24x + 30 -3x = 3x - 3x + 27[/tex]

[tex]21x + 30 = 27[/tex]

-Subtract both sides by [tex]30[/tex]:

[tex]21x + 30 - 30 = 27 - 30[/tex]

[tex]21x = -3[/tex]

-Divide both sides by [tex]21[/tex]:

[tex]\frac{21x}{21} = \frac{-3}{21}[/tex]

[tex]x = \frac{-3}{21}[/tex]

-Reduce the fraction to the lowest term by extracting and canceling out [tex]3[/tex]:

[tex]x = \frac{-3\div3}{21 \div 3}[/tex]

[tex]\boxed {x = -\frac{1}{7}}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-\frac{1}{7}[/tex].

Decimal Form: x= 0.142857

Exact Form: x= -1/7

Step-by-step explanation:

H=(1/5)w+(8/5)

Step-by-step explanation: