3x+2(x-2)=3x-17+3x

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Solution for 3x+2(x-2)=3x-17+3x equation:


Simplifying
3x + 2(x + -2) = 3x + -17 + 3x

Reorder the terms:
3x + 2(-2 + x) = 3x + -17 + 3x
3x + (-2 * 2 + x * 2) = 3x + -17 + 3x
3x + (-4 + 2x) = 3x + -17 + 3x

Reorder the terms:
-4 + 3x + 2x = 3x + -17 + 3x

Combine like terms: 3x + 2x = 5x
-4 + 5x = 3x + -17 + 3x

Reorder the terms:
-4 + 5x = -17 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-4 + 5x = -17 + 6x

Solving
-4 + 5x = -17 + 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.
-4 + 5x + -6x = -17 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-4 + -1x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -1x = -17 + 0
-4 + -1x = -17

Add '4' to each side of the equation.
-4 + 4 + -1x = -17 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -17 + 4
-1x = -17 + 4

Combine like terms: -17 + 4 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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