3*(x-2)-11=42-2x

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Solution for 3*(x-2)-11=42-2x equation:


Simplifying
3(x + -2) + -11 = 42 + -2x

Reorder the terms:
3(-2 + x) + -11 = 42 + -2x
(-2 * 3 + x * 3) + -11 = 42 + -2x
(-6 + 3x) + -11 = 42 + -2x

Reorder the terms:
-6 + -11 + 3x = 42 + -2x

Combine like terms: -6 + -11 = -17
-17 + 3x = 42 + -2x

Solving
-17 + 3x = 42 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-17 + 3x + 2x = 42 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-17 + 5x = 42 + -2x + 2x

Combine like terms: -2x + 2x = 0
-17 + 5x = 42 + 0
-17 + 5x = 42

Add '17' to each side of the equation.
-17 + 17 + 5x = 42 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 42 + 17
5x = 42 + 17

Combine like terms: 42 + 17 = 59
5x = 59

Divide each side by '5'.
x = 11.8

Simplifying
x = 11.8

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