#### Answer

The solution is -6

#### Work Step by Step

6( 7x - 1) = 43x Apply the distributive property
6$\times$7x - 6$\times$1 = 43x Multiply
42x -6 =43x Subtract 43x from both sides
42x -6 -43x=43x -43x
-x - 6 =0 Add 6 to both sides
-x - 6 + 6 = 0 +6
-x = 6 Divide by -1 on both sides
$\frac{-x}{-1}$ = $\frac{6}{-1}$
x = -6
The solution is -6
Check
6( 7x - 1) = 43x
6[7(-6)- 1) = 43(-6)
6[-42 -1 ]=-258
6[-43]=-258
-258=-258