-5(x+2)-3x=-(2x-6)

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Solution for -5(x+2)-3x=-(2x-6) equation:


Simplifying
-5(x + 2) + -3x = -1(2x + -6)

Reorder the terms:
-5(2 + x) + -3x = -1(2x + -6)
(2 * -5 + x * -5) + -3x = -1(2x + -6)
(-10 + -5x) + -3x = -1(2x + -6)

Combine like terms: -5x + -3x = -8x
-10 + -8x = -1(2x + -6)

Reorder the terms:
-10 + -8x = -1(-6 + 2x)
-10 + -8x = (-6 * -1 + 2x * -1)
-10 + -8x = (6 + -2x)

Solving
-10 + -8x = 6 + -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.
-10 + -8x + 2x = 6 + -2x + 2x

Combine like terms: -8x + 2x = -6x
-10 + -6x = 6 + -2x + 2x

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

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

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

Combine like terms: 6 + 10 = 16
-6x = 16

Divide each side by '-6'.
x = -2.666666667

Simplifying
x = -2.666666667

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