2(x-3)+5=3(x-11x)

Solution for 2(x-3)+5=3(x-11x) equation:

Simplifying
2(x + -3) + 5 = 3(x + -11x)

Reorder the terms:
2(-3 + x) + 5 = 3(x + -11x)
(-3 * 2 + x * 2) + 5 = 3(x + -11x)
(-6 + 2x) + 5 = 3(x + -11x)

Reorder the terms:
-6 + 5 + 2x = 3(x + -11x)

Combine like terms: -6 + 5 = -1
-1 + 2x = 3(x + -11x)

Combine like terms: x + -11x = -10x
-1 + 2x = 3(-10x)

Remove parenthesis around (-10x)
-1 + 2x = 3 * -10x

Multiply 3 * -10
-1 + 2x = -30x

Solving
-1 + 2x = -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-1 + 2x + 30x = -30x + 30x

Combine like terms: 2x + 30x = 32x
-1 + 32x = -30x + 30x

Combine like terms: -30x + 30x = 0
-1 + 32x = 0

Add '1' to each side of the equation.
-1 + 1 + 32x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 32x = 0 + 1
32x = 0 + 1

Combine like terms: 0 + 1 = 1
32x = 1

Divide each side by '32'.
x = 0.03125

Simplifying
x = 0.03125