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

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


Simplifying
3(5 + -1x) + -3(1 + -2x) = 42
(5 * 3 + -1x * 3) + -3(1 + -2x) = 42
(15 + -3x) + -3(1 + -2x) = 42
15 + -3x + (1 * -3 + -2x * -3) = 42
15 + -3x + (-3 + 6x) = 42

Reorder the terms:
15 + -3 + -3x + 6x = 42

Combine like terms: 15 + -3 = 12
12 + -3x + 6x = 42

Combine like terms: -3x + 6x = 3x
12 + 3x = 42

Solving
12 + 3x = 42

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 + 3x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 42 + -12
3x = 42 + -12

Combine like terms: 42 + -12 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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