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

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


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

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

Combine like terms: 6 + 4 = 10
10 + -2x = 6(x + -3)

Reorder the terms:
10 + -2x = 6(-3 + x)
10 + -2x = (-3 * 6 + x * 6)
10 + -2x = (-18 + 6x)

Solving
10 + -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.
10 + -2x + -6x = -18 + 6x + -6x

Combine like terms: -2x + -6x = -8x
10 + -8x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -8x = -18 + 0
10 + -8x = -18

Add '-10' to each side of the equation.
10 + -10 + -8x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -18 + -10
-8x = -18 + -10

Combine like terms: -18 + -10 = -28
-8x = -28

Divide each side by '-8'.
x = 3.5

Simplifying
x = 3.5

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