6(x+1)=10x-61

Solution for 6(x+1)=10x-61 equation:

Simplifying
6(x + 1) = 10x + -61

Reorder the terms:
6(1 + x) = 10x + -61
(1 * 6 + x * 6) = 10x + -61
(6 + 6x) = 10x + -61

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

Solving
6 + 6x = -61 + 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 = -61 + 10x + -10x

Combine like terms: 6x + -10x = -4x
6 + -4x = -61 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -4x = -61 + 0
6 + -4x = -61

Add '-6' to each side of the equation.
6 + -6 + -4x = -61 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -61 + -6
-4x = -61 + -6

Combine like terms: -61 + -6 = -67
-4x = -67

Divide each side by '-4'.
x = 16.75

Simplifying
x = 16.75