3x-7(4+2x)=x-2

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Solution for 3x-7(4+2x)=x-2 equation:


Simplifying
3x + -7(4 + 2x) = x + -2
3x + (4 * -7 + 2x * -7) = x + -2
3x + (-28 + -14x) = x + -2

Reorder the terms:
-28 + 3x + -14x = x + -2

Combine like terms: 3x + -14x = -11x
-28 + -11x = x + -2

Reorder the terms:
-28 + -11x = -2 + x

Solving
-28 + -11x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-28 + -11x + -1x = -2 + x + -1x

Combine like terms: -11x + -1x = -12x
-28 + -12x = -2 + x + -1x

Combine like terms: x + -1x = 0
-28 + -12x = -2 + 0
-28 + -12x = -2

Add '28' to each side of the equation.
-28 + 28 + -12x = -2 + 28

Combine like terms: -28 + 28 = 0
0 + -12x = -2 + 28
-12x = -2 + 28

Combine like terms: -2 + 28 = 26
-12x = 26

Divide each side by '-12'.
x = -2.166666667

Simplifying
x = -2.166666667

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