4x-17(1-x)=42

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Solution for 4x-17(1-x)=42 equation:


Simplifying
4x + -17(1 + -1x) = 42
4x + (1 * -17 + -1x * -17) = 42
4x + (-17 + 17x) = 42

Reorder the terms:
-17 + 4x + 17x = 42

Combine like terms: 4x + 17x = 21x
-17 + 21x = 42

Solving
-17 + 21x = 42

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 21x = 42 + 17

Combine like terms: -17 + 17 = 0
0 + 21x = 42 + 17
21x = 42 + 17

Combine like terms: 42 + 17 = 59
21x = 59

Divide each side by '21'.
x = 2.80952381

Simplifying
x = 2.80952381

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