6-3(x-7)=-2

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


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

Reorder the terms:
6 + -3(-7 + x) = -2
6 + (-7 * -3 + x * -3) = -2
6 + (21 + -3x) = -2

Combine like terms: 6 + 21 = 27
27 + -3x = -2

Solving
27 + -3x = -2

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -3x = -2 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = -2 + -27
-3x = -2 + -27

Combine like terms: -2 + -27 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667

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