3(x-7)=2-2x

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Solution for 3(x-7)=2-2x equation:


Simplifying
3(x + -7) = 2 + -2x

Reorder the terms:
3(-7 + x) = 2 + -2x
(-7 * 3 + x * 3) = 2 + -2x
(-21 + 3x) = 2 + -2x

Solving
-21 + 3x = 2 + -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.
-21 + 3x + 2x = 2 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-21 + 5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-21 + 5x = 2 + 0
-21 + 5x = 2

Add '21' to each side of the equation.
-21 + 21 + 5x = 2 + 21

Combine like terms: -21 + 21 = 0
0 + 5x = 2 + 21
5x = 2 + 21

Combine like terms: 2 + 21 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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