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

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


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

Reorder the terms:
3 + x + -2(7 + 3x) = 2x + -4
3 + x + (7 * -2 + 3x * -2) = 2x + -4
3 + x + (-14 + -6x) = 2x + -4

Reorder the terms:
3 + -14 + x + -6x = 2x + -4

Combine like terms: 3 + -14 = -11
-11 + x + -6x = 2x + -4

Combine like terms: x + -6x = -5x
-11 + -5x = 2x + -4

Reorder the terms:
-11 + -5x = -4 + 2x

Solving
-11 + -5x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + -5x + -2x = -4 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-11 + -7x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + -7x = -4 + 0
-11 + -7x = -4

Add '11' to each side of the equation.
-11 + 11 + -7x = -4 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = -4 + 11
-7x = -4 + 11

Combine like terms: -4 + 11 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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