6(1-x)=5(1+2x)+61

Solution for 6(1-x)=5(1+2x)+61 equation:

Simplifying
6(1 + -1x) = 5(1 + 2x) + 61
(1 * 6 + -1x * 6) = 5(1 + 2x) + 61
(6 + -6x) = 5(1 + 2x) + 61
6 + -6x = (1 * 5 + 2x * 5) + 61
6 + -6x = (5 + 10x) + 61

Reorder the terms:
6 + -6x = 5 + 61 + 10x

Combine like terms: 5 + 61 = 66
6 + -6x = 66 + 10x

Solving
6 + -6x = 66 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -6x + -10x = 66 + 10x + -10x

Combine like terms: -6x + -10x = -16x
6 + -16x = 66 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -16x = 66 + 0
6 + -16x = 66

Add '-6' to each side of the equation.
6 + -6 + -16x = 66 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = 66 + -6
-16x = 66 + -6

Combine like terms: 66 + -6 = 60
-16x = 60

Divide each side by '-16'.
x = -3.75

Simplifying
x = -3.75