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

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


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

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

Reorder the terms:
-18 + 6x + 3(3 + x) = 3x + -6
-18 + 6x + (3 * 3 + x * 3) = 3x + -6
-18 + 6x + (9 + 3x) = 3x + -6

Reorder the terms:
-18 + 9 + 6x + 3x = 3x + -6

Combine like terms: -18 + 9 = -9
-9 + 6x + 3x = 3x + -6

Combine like terms: 6x + 3x = 9x
-9 + 9x = 3x + -6

Reorder the terms:
-9 + 9x = -6 + 3x

Solving
-9 + 9x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 9x + -3x = -6 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-9 + 6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 6x = -6 + 0
-9 + 6x = -6

Add '9' to each side of the equation.
-9 + 9 + 6x = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = -6 + 9
6x = -6 + 9

Combine like terms: -6 + 9 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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