3(x-2)=42-5x

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


Simplifying
3(x + -2) = 42 + -5x

Reorder the terms:
3(-2 + x) = 42 + -5x
(-2 * 3 + x * 3) = 42 + -5x
(-6 + 3x) = 42 + -5x

Solving
-6 + 3x = 42 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + 3x + 5x = 42 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-6 + 8x = 42 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 8x = 42 + 0
-6 + 8x = 42

Add '6' to each side of the equation.
-6 + 6 + 8x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 42 + 6
8x = 42 + 6

Combine like terms: 42 + 6 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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