x-2+x-2=6(x-3)

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Solution for x-2+x-2=6(x-3) equation:


Simplifying
x + -2 + x + -2 = 6(x + -3)

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

Combine like terms: -2 + -2 = -4
-4 + x + x = 6(x + -3)

Combine like terms: x + x = 2x
-4 + 2x = 6(x + -3)

Reorder the terms:
-4 + 2x = 6(-3 + x)
-4 + 2x = (-3 * 6 + x * 6)
-4 + 2x = (-18 + 6x)

Solving
-4 + 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.
-4 + 2x + -6x = -18 + 6x + -6x

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

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

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

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

Combine like terms: -18 + 4 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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