How do you solve 7( 2x - 1) = 5( x - 14)?

3 Answers
Mar 7, 2018

x=-7

Explanation:

Expand the brackets

14x-7=5x-70

Subtract 5x from both sides

9x-7=-70

Add 7to both sides

9x=-63

Divide both sides by 9

x=-7

Mar 7, 2018

x=-7

Explanation:

7(2x-1)=5(x-14)

Distribute and multiply 7 to 2x and -1 to get

14x-7=

Then distribute and multiply 5 to x and -14 to get

=5x-70

Put together, it will look like this

14x-7=5x-70

Then add 70 to -70 and -7 to get

14x+63=5x

Then subtract 14x from 14x and 5x to get

63=-9x

Divide by -9 on both sides to get

-7=x

Mar 7, 2018

See solution below:

Explanation:

First expand out the brackets:
7(2x-1) = 14x -7
and
5(x-14) = 5x - 70

Hence, the equation becomes:
14x-7=5x-70

Now rearrange to make x the subject:

  1. Subtract 5x from both sides to obtain:
    => 14x-5x-7=5x-5x-70
    => 9x-7=70

  2. Then add 7 to both sides to isolate x
    => 9x-7+7=-70+7
    => 9x = -63

  3. Finally, divide both sides by 9 to obtain x
    => x=-63/9

Hence,
x=-7