6(x-7)=7x-34

Solution for 6(x-7)=7x-34 equation:

Simplifying
6(x + -7) = 7x + -34

Reorder the terms:
6(-7 + x) = 7x + -34
(-7 * 6 + x * 6) = 7x + -34
(-42 + 6x) = 7x + -34

Reorder the terms:
-42 + 6x = -34 + 7x

Solving
-42 + 6x = -34 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-42 + 6x + -7x = -34 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-42 + -1x = -34 + 7x + -7x

Combine like terms: 7x + -7x = 0
-42 + -1x = -34 + 0
-42 + -1x = -34

Add '42' to each side of the equation.
-42 + 42 + -1x = -34 + 42

Combine like terms: -42 + 42 = 0
0 + -1x = -34 + 42
-1x = -34 + 42

Combine like terms: -34 + 42 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8