3(x-2)=6(2-3x)-7x

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Solution for 3(x-2)=6(2-3x)-7x equation:


Simplifying
3(x + -2) = 6(2 + -3x) + -7x

Reorder the terms:
3(-2 + x) = 6(2 + -3x) + -7x
(-2 * 3 + x * 3) = 6(2 + -3x) + -7x
(-6 + 3x) = 6(2 + -3x) + -7x
-6 + 3x = (2 * 6 + -3x * 6) + -7x
-6 + 3x = (12 + -18x) + -7x

Combine like terms: -18x + -7x = -25x
-6 + 3x = 12 + -25x

Solving
-6 + 3x = 12 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
-6 + 3x + 25x = 12 + -25x + 25x

Combine like terms: 3x + 25x = 28x
-6 + 28x = 12 + -25x + 25x

Combine like terms: -25x + 25x = 0
-6 + 28x = 12 + 0
-6 + 28x = 12

Add '6' to each side of the equation.
-6 + 6 + 28x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 28x = 12 + 6
28x = 12 + 6

Combine like terms: 12 + 6 = 18
28x = 18

Divide each side by '28'.
x = 0.6428571429

Simplifying
x = 0.6428571429

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