6(x-5)-3=19x-111

Solution for 6(x-5)-3=19x-111 equation:

Simplifying
6(x + -5) + -3 = 19x + -111

Reorder the terms:
6(-5 + x) + -3 = 19x + -111
(-5 * 6 + x * 6) + -3 = 19x + -111
(-30 + 6x) + -3 = 19x + -111

Reorder the terms:
-30 + -3 + 6x = 19x + -111

Combine like terms: -30 + -3 = -33
-33 + 6x = 19x + -111

Reorder the terms:
-33 + 6x = -111 + 19x

Solving
-33 + 6x = -111 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-33 + 6x + -19x = -111 + 19x + -19x

Combine like terms: 6x + -19x = -13x
-33 + -13x = -111 + 19x + -19x

Combine like terms: 19x + -19x = 0
-33 + -13x = -111 + 0
-33 + -13x = -111

Add '33' to each side of the equation.
-33 + 33 + -13x = -111 + 33

Combine like terms: -33 + 33 = 0
0 + -13x = -111 + 33
-13x = -111 + 33

Combine like terms: -111 + 33 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6