Question

7x-3(2x-5)=6(2+3x)-31​

Answer 1

X = 2

Explanation:

Simplify:

7x - 3 (2x - 5) = 6(2+3x) - 31

Distribute:

7x - 3 (2x-5) = 6(2+3x) - 31

7x - 6x + 15 = 6(2+3x) = 31

Combine like terms:

7x - 6x + 15 = 6(2+3x) - 31

1x + 15 = (6(2+3x) - 31

Multiply by 1:

1x + 15 = 6(2+3x) - 31

x + 15 = 6(2+3x) - 31

Rearrange terms

x + 15 = 6(2+3x) - 31

x + 15 = 6(3x+2) - 31

Distribute:

x + 15 = 6(3x+2) - 31

x + 15 = 18x + 12 - 31

Subtract:

x + 15 = 18x + 12 - 31

x + 15 = 18x - 19

x + 15 = 18x - 19

Subtract 15:

x + 15 = 18x - 19

x + 15-15 = 18x - 19-15

Simplify:

x + 15 - 15 = 18x - 19 - 15

x + 15-15 = 18x - 19 - 15

x = 18x - 19 - 15

Subtract again:

x = 18x - 19 - 15

x = 18x - 34

x = 18x - 34

Subtract 18x:

x = 18x - 32

x - 18x = 18x - 34 - 18x

Simplify:

x - 18x = 18x - 34 - 18x

Combine like terms:

x - 18x = 18x - 34 - 18x

-17x = 18x - 34 - 18x

Combine like terms’:

-17x = 18x - 34 - 18x

-17x = -34

-17x = -34

Divide:

-17x = -34

`(-17x)/(-17) = (-34)/(-17)`

Simplify:

`(-17x)/(-17) = (-34)/(-17)`

Cancel terms that are in numerator and denominator:

`(-17x)/(-17) = (-34)/(-17)`

x =
`(-34)/(-17)`

x = 2

Thus the answer to your problem is, X = 2