3(x-2)-(x+5)-2(3-2x)=18

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Solution for 3(x-2)-(x+5)-2(3-2x)=18 equation:


Simplifying
3(x + -2) + -1(x + 5) + -2(3 + -2x) = 18

Reorder the terms:
3(-2 + x) + -1(x + 5) + -2(3 + -2x) = 18
(-2 * 3 + x * 3) + -1(x + 5) + -2(3 + -2x) = 18
(-6 + 3x) + -1(x + 5) + -2(3 + -2x) = 18

Reorder the terms:
-6 + 3x + -1(5 + x) + -2(3 + -2x) = 18
-6 + 3x + (5 * -1 + x * -1) + -2(3 + -2x) = 18
-6 + 3x + (-5 + -1x) + -2(3 + -2x) = 18
-6 + 3x + -5 + -1x + (3 * -2 + -2x * -2) = 18
-6 + 3x + -5 + -1x + (-6 + 4x) = 18

Reorder the terms:
-6 + -5 + -6 + 3x + -1x + 4x = 18

Combine like terms: -6 + -5 = -11
-11 + -6 + 3x + -1x + 4x = 18

Combine like terms: -11 + -6 = -17
-17 + 3x + -1x + 4x = 18

Combine like terms: 3x + -1x = 2x
-17 + 2x + 4x = 18

Combine like terms: 2x + 4x = 6x
-17 + 6x = 18

Solving
-17 + 6x = 18

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 6x = 18 + 17

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

Combine like terms: 18 + 17 = 35
6x = 35

Divide each side by '6'.
x = 5.833333333

Simplifying
x = 5.833333333

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