3(x-6)+6(x+3)=x+17

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Solution for 3(x-6)+6(x+3)=x+17 equation: 


Simplifying
3(x + -6) + 6(x + 3) = x + 17

Reorder the terms:
3(-6 + x) + 6(x + 3) = x + 17
(-6 * 3 + x * 3) + 6(x + 3) = x + 17
(-18 + 3x) + 6(x + 3) = x + 17

Reorder the terms:
-18 + 3x + 6(3 + x) = x + 17
-18 + 3x + (3 * 6 + x * 6) = x + 17
-18 + 3x + (18 + 6x) = x + 17

Reorder the terms:
-18 + 18 + 3x + 6x = x + 17

Combine like terms: -18 + 18 = 0
0 + 3x + 6x = x + 17
3x + 6x = x + 17

Combine like terms: 3x + 6x = 9x
9x = x + 17

Reorder the terms:
9x = 17 + x

Solving
9x = 17 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9x + -1x = 17 + x + -1x

Combine like terms: 9x + -1x = 8x
8x = 17 + x + -1x

Combine like terms: x + -1x = 0
8x = 17 + 0
8x = 17

Divide each side by '8'.
x = 2.125

Simplifying
x = 2.125

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