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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