3x-3(-x)+(-6)=2(-2x)+14

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Solution for 3x-3(-x)+(-6)=2(-2x)+14 equation:


Simplifying
3x + -3(-1x) + (-6) = 2(-2x) + 14

Remove parenthesis around (-1x)
3x + -3 * -1x + (-6) = 2(-2x) + 14

Multiply -3 * -1
3x + 3x + (-6) = 2(-2x) + 14
3x + 3x + -6 = 2(-2x) + 14

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

Combine like terms: 3x + 3x = 6x
-6 + 6x = 2(-2x) + 14

Remove parenthesis around (-2x)
-6 + 6x = 2 * -2x + 14

Multiply 2 * -2
-6 + 6x = -4x + 14

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

Solving
-6 + 6x = 14 + -4x

Solving for variable 'x'.

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

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

Combine like terms: 6x + 4x = 10x
-6 + 10x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 10x = 14 + 0
-6 + 10x = 14

Add '6' to each side of the equation.
-6 + 6 + 10x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 14 + 6
10x = 14 + 6

Combine like terms: 14 + 6 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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