3(5-x)-(1-2x)=42

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Solution for 3(5-x)-(1-2x)=42 equation: 


Simplifying
3(5 + -1x) + -1(1 + -2x) = 42
(5 * 3 + -1x * 3) + -1(1 + -2x) = 42
(15 + -3x) + -1(1 + -2x) = 42
15 + -3x + (1 * -1 + -2x * -1) = 42
15 + -3x + (-1 + 2x) = 42

Reorder the terms:
15 + -1 + -3x + 2x = 42

Combine like terms: 15 + -1 = 14
14 + -3x + 2x = 42

Combine like terms: -3x + 2x = -1x
14 + -1x = 42

Solving
14 + -1x = 42

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 42 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 42 + -14
-1x = 42 + -14

Combine like terms: 42 + -14 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

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