2(x-17)=x-3(12-2x)

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Solution for 2(x-17)=x-3(12-2x) equation: 


Simplifying
2(x + -17) = x + -3(12 + -2x)

Reorder the terms:
2(-17 + x) = x + -3(12 + -2x)
(-17 * 2 + x * 2) = x + -3(12 + -2x)
(-34 + 2x) = x + -3(12 + -2x)
-34 + 2x = x + (12 * -3 + -2x * -3)
-34 + 2x = x + (-36 + 6x)

Reorder the terms:
-34 + 2x = -36 + x + 6x

Combine like terms: x + 6x = 7x
-34 + 2x = -36 + 7x

Solving
-34 + 2x = -36 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-34 + 2x + -7x = -36 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-34 + -5x = -36 + 7x + -7x

Combine like terms: 7x + -7x = 0
-34 + -5x = -36 + 0
-34 + -5x = -36

Add '34' to each side of the equation.
-34 + 34 + -5x = -36 + 34

Combine like terms: -34 + 34 = 0
0 + -5x = -36 + 34
-5x = -36 + 34

Combine like terms: -36 + 34 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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