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

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


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

Reorder the terms:
3x + -7(-2 + x) = -6
3x + (-2 * -7 + x * -7) = -6
3x + (14 + -7x) = -6

Reorder the terms:
14 + 3x + -7x = -6

Combine like terms: 3x + -7x = -4x
14 + -4x = -6

Solving
14 + -4x = -6

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -4x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -6 + -14
-4x = -6 + -14

Combine like terms: -6 + -14 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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