2(1-3x)-5(x-2)=45

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Solution for 2(1-3x)-5(x-2)=45 equation: 


Simplifying
2(1 + -3x) + -5(x + -2) = 45
(1 * 2 + -3x * 2) + -5(x + -2) = 45
(2 + -6x) + -5(x + -2) = 45

Reorder the terms:
2 + -6x + -5(-2 + x) = 45
2 + -6x + (-2 * -5 + x * -5) = 45
2 + -6x + (10 + -5x) = 45

Reorder the terms:
2 + 10 + -6x + -5x = 45

Combine like terms: 2 + 10 = 12
12 + -6x + -5x = 45

Combine like terms: -6x + -5x = -11x
12 + -11x = 45

Solving
12 + -11x = 45

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -11x = 45 + -12

Combine like terms: 12 + -12 = 0
0 + -11x = 45 + -12
-11x = 45 + -12

Combine like terms: 45 + -12 = 33
-11x = 33

Divide each side by '-11'.
x = -3

Simplifying
x = -3

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