6(8x+7)=49x

Solution for 6(8x+7)=49x equation:

Simplifying
6(8x + 7) = 49x

Reorder the terms:
6(7 + 8x) = 49x
(7 * 6 + 8x * 6) = 49x
(42 + 48x) = 49x

Solving
42 + 48x = 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.
42 + 48x + -49x = 49x + -49x

Combine like terms: 48x + -49x = -1x
42 + -1x = 49x + -49x

Combine like terms: 49x + -49x = 0
42 + -1x = 0

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42