x-6=10(x+5)

Solution for x-6=10(x+5) equation:

Simplifying
x + -6 = 10(x + 5)

Reorder the terms:
-6 + x = 10(x + 5)

Reorder the terms:
-6 + x = 10(5 + x)
-6 + x = (5 * 10 + x * 10)
-6 + x = (50 + 10x)

Solving
-6 + x = 50 + 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 + x + -10x = 50 + 10x + -10x

Combine like terms: x + -10x = -9x
-6 + -9x = 50 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -9x = 50 + 0
-6 + -9x = 50

Add '6' to each side of the equation.
-6 + 6 + -9x = 50 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = 50 + 6
-9x = 50 + 6

Combine like terms: 50 + 6 = 56
-9x = 56

Divide each side by '-9'.
x = -6.222222222

Simplifying
x = -6.222222222