2[x-11]=6[x+3]

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Solution for 2[x-11]=6[x+3] equation:


Simplifying
2[x + -11] = 6[x + 3]

Reorder the terms:
2[-11 + x] = 6[x + 3]
[-11 * 2 + x * 2] = 6[x + 3]
[-22 + 2x] = 6[x + 3]

Reorder the terms:
-22 + 2x = 6[3 + x]
-22 + 2x = [3 * 6 + x * 6]
-22 + 2x = [18 + 6x]

Solving
-22 + 2x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-22 + 2x + -6x = 18 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-22 + -4x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-22 + -4x = 18 + 0
-22 + -4x = 18

Add '22' to each side of the equation.
-22 + 22 + -4x = 18 + 22

Combine like terms: -22 + 22 = 0
0 + -4x = 18 + 22
-4x = 18 + 22

Combine like terms: 18 + 22 = 40
-4x = 40

Divide each side by '-4'.
x = -10

Simplifying
x = -10

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