6(7x-1)=49x

Solution for 6(7x-1)=49x equation:

Simplifying
6(7x + -1) = 49x

Reorder the terms:
6(-1 + 7x) = 49x
(-1 * 6 + 7x * 6) = 49x
(-6 + 42x) = 49x

Solving
-6 + 42x = 49x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-49x' to each side of the equation.
-6 + 42x + -49x = 49x + -49x

Combine like terms: 42x + -49x = -7x
-6 + -7x = 49x + -49x

Combine like terms: 49x + -49x = 0
-6 + -7x = 0

Add '6' to each side of the equation.
-6 + 6 + -7x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 0 + 6
-7x = 0 + 6

Combine like terms: 0 + 6 = 6
-7x = 6

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571