10-9(5-(6+x))=19x-(x-10)

Solution for 10-9(5-(6+x))=19x-(x-10) equation:

Simplifying
10 + -9(5 + -1(6 + x)) = 19x + -1(x + -10)
10 + -9(5 + (6 * -1 + x * -1)) = 19x + -1(x + -10)
10 + -9(5 + (-6 + -1x)) = 19x + -1(x + -10)

Combine like terms: 5 + -6 = -1
10 + -9(-1 + -1x) = 19x + -1(x + -10)
10 + (-1 * -9 + -1x * -9) = 19x + -1(x + -10)
10 + (9 + 9x) = 19x + -1(x + -10)

Combine like terms: 10 + 9 = 19
19 + 9x = 19x + -1(x + -10)

Reorder the terms:
19 + 9x = 19x + -1(-10 + x)
19 + 9x = 19x + (-10 * -1 + x * -1)
19 + 9x = 19x + (10 + -1x)

Reorder the terms:
19 + 9x = 10 + 19x + -1x

Combine like terms: 19x + -1x = 18x
19 + 9x = 10 + 18x

Solving
19 + 9x = 10 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
19 + 9x + -18x = 10 + 18x + -18x

Combine like terms: 9x + -18x = -9x
19 + -9x = 10 + 18x + -18x

Combine like terms: 18x + -18x = 0
19 + -9x = 10 + 0
19 + -9x = 10

Add '-19' to each side of the equation.
19 + -19 + -9x = 10 + -19

Combine like terms: 19 + -19 = 0
0 + -9x = 10 + -19
-9x = 10 + -19

Combine like terms: 10 + -19 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1