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

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


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

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

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

Reorder the terms:
-18 + 6 + 6x + -3x = 6

Combine like terms: -18 + 6 = -12
-12 + 6x + -3x = 6

Combine like terms: 6x + -3x = 3x
-12 + 3x = 6

Solving
-12 + 3x = 6

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 6 + 12
3x = 6 + 12

Combine like terms: 6 + 12 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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