42(x-1)=7(6-x)+35

Solution for 42(x-1)=7(6-x)+35 equation:

Simplifying
42(x + -1) = 7(6 + -1x) + 35

Reorder the terms:
42(-1 + x) = 7(6 + -1x) + 35
(-1 * 42 + x * 42) = 7(6 + -1x) + 35
(-42 + 42x) = 7(6 + -1x) + 35
-42 + 42x = (6 * 7 + -1x * 7) + 35
-42 + 42x = (42 + -7x) + 35

Reorder the terms:
-42 + 42x = 42 + 35 + -7x

Combine like terms: 42 + 35 = 77
-42 + 42x = 77 + -7x

Solving
-42 + 42x = 77 + -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 + 42x + 7x = 77 + -7x + 7x

Combine like terms: 42x + 7x = 49x
-42 + 49x = 77 + -7x + 7x

Combine like terms: -7x + 7x = 0
-42 + 49x = 77 + 0
-42 + 49x = 77

Add '42' to each side of the equation.
-42 + 42 + 49x = 77 + 42

Combine like terms: -42 + 42 = 0
0 + 49x = 77 + 42
49x = 77 + 42

Combine like terms: 77 + 42 = 119
49x = 119

Divide each side by '49'.
x = 2.428571429

Simplifying
x = 2.428571429