2(1-3x)-(5-x)=7

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Solution for 2(1-3x)-(5-x)=7 equation:


Simplifying
2(1 + -3x) + -1(5 + -1x) = 7
(1 * 2 + -3x * 2) + -1(5 + -1x) = 7
(2 + -6x) + -1(5 + -1x) = 7
2 + -6x + (5 * -1 + -1x * -1) = 7
2 + -6x + (-5 + 1x) = 7

Reorder the terms:
2 + -5 + -6x + 1x = 7

Combine like terms: 2 + -5 = -3
-3 + -6x + 1x = 7

Combine like terms: -6x + 1x = -5x
-3 + -5x = 7

Solving
-3 + -5x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 7 + 3
-5x = 7 + 3

Combine like terms: 7 + 3 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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