3(x-6)=10-2x

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Solution for 3(x-6)=10-2x equation: 


Simplifying
3(x + -6) = 10 + -2x

Reorder the terms:
3(-6 + x) = 10 + -2x
(-6 * 3 + x * 3) = 10 + -2x
(-18 + 3x) = 10 + -2x

Solving
-18 + 3x = 10 + -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.
-18 + 3x + 2x = 10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-18 + 5x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 5x = 10 + 0
-18 + 5x = 10

Add '18' to each side of the equation.
-18 + 18 + 5x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 10 + 18
5x = 10 + 18

Combine like terms: 10 + 18 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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