2(1-3x)=5(x-9-2(x+2))

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Solution for 2(1-3x)=5(x-9-2(x+2)) equation: 


Simplifying
2(1 + -3x) = 5(x + -9 + -2(x + 2))
(1 * 2 + -3x * 2) = 5(x + -9 + -2(x + 2))
(2 + -6x) = 5(x + -9 + -2(x + 2))

Reorder the terms:
2 + -6x = 5(x + -9 + -2(2 + x))
2 + -6x = 5(x + -9 + (2 * -2 + x * -2))
2 + -6x = 5(x + -9 + (-4 + -2x))

Reorder the terms:
2 + -6x = 5(-9 + -4 + x + -2x)

Combine like terms: -9 + -4 = -13
2 + -6x = 5(-13 + x + -2x)

Combine like terms: x + -2x = -1x
2 + -6x = 5(-13 + -1x)
2 + -6x = (-13 * 5 + -1x * 5)
2 + -6x = (-65 + -5x)

Solving
2 + -6x = -65 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + -6x + 5x = -65 + -5x + 5x

Combine like terms: -6x + 5x = -1x
2 + -1x = -65 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + -1x = -65 + 0
2 + -1x = -65

Add '-2' to each side of the equation.
2 + -2 + -1x = -65 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -65 + -2
-1x = -65 + -2

Combine like terms: -65 + -2 = -67
-1x = -67

Divide each side by '-1'.
x = 67

Simplifying
x = 67

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