11x+4(x-5)+6x=2x-32

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Solution for 11x+4(x-5)+6x=2x-32 equation:


Simplifying
11x + 4(x + -5) + 6x = 2x + -32

Reorder the terms:
11x + 4(-5 + x) + 6x = 2x + -32
11x + (-5 * 4 + x * 4) + 6x = 2x + -32
11x + (-20 + 4x) + 6x = 2x + -32

Reorder the terms:
-20 + 11x + 4x + 6x = 2x + -32

Combine like terms: 11x + 4x = 15x
-20 + 15x + 6x = 2x + -32

Combine like terms: 15x + 6x = 21x
-20 + 21x = 2x + -32

Reorder the terms:
-20 + 21x = -32 + 2x

Solving
-20 + 21x = -32 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 21x + -2x = -32 + 2x + -2x

Combine like terms: 21x + -2x = 19x
-20 + 19x = -32 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 19x = -32 + 0
-20 + 19x = -32

Add '20' to each side of the equation.
-20 + 20 + 19x = -32 + 20

Combine like terms: -20 + 20 = 0
0 + 19x = -32 + 20
19x = -32 + 20

Combine like terms: -32 + 20 = -12
19x = -12

Divide each side by '19'.
x = -0.6315789474

Simplifying
x = -0.6315789474

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