2x-5(6-x)=12

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Solution for 2x-5(6-x)=12 equation:


Simplifying
2x + -5(6 + -1x) = 12
2x + (6 * -5 + -1x * -5) = 12
2x + (-30 + 5x) = 12

Reorder the terms:
-30 + 2x + 5x = 12

Combine like terms: 2x + 5x = 7x
-30 + 7x = 12

Solving
-30 + 7x = 12

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 7x = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 7x = 12 + 30
7x = 12 + 30

Combine like terms: 12 + 30 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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