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 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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