2(x-3)-(2x+4)=-6x

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Solution for 2(x-3)-(2x+4)=-6x equation:


Simplifying
2(x + -3) + -1(2x + 4) = -6x

Reorder the terms:
2(-3 + x) + -1(2x + 4) = -6x
(-3 * 2 + x * 2) + -1(2x + 4) = -6x
(-6 + 2x) + -1(2x + 4) = -6x

Reorder the terms:
-6 + 2x + -1(4 + 2x) = -6x
-6 + 2x + (4 * -1 + 2x * -1) = -6x
-6 + 2x + (-4 + -2x) = -6x

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

Combine like terms: -6 + -4 = -10
-10 + 2x + -2x = -6x

Combine like terms: 2x + -2x = 0
-10 + 0 = -6x
-10 = -6x

Solving
-10 = -6x

Solving for variable 'x'.

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

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

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

Add '10' to each side of the equation.
-10 + 10 + 6x = 0 + 10

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

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

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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