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

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


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

Reorder the terms:
2 + -6(5 + x) = -2(-5x + -2)
2 + (5 * -6 + x * -6) = -2(-5x + -2)
2 + (-30 + -6x) = -2(-5x + -2)

Combine like terms: 2 + -30 = -28
-28 + -6x = -2(-5x + -2)

Reorder the terms:
-28 + -6x = -2(-2 + -5x)
-28 + -6x = (-2 * -2 + -5x * -2)
-28 + -6x = (4 + 10x)

Solving
-28 + -6x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-28 + -6x + -10x = 4 + 10x + -10x

Combine like terms: -6x + -10x = -16x
-28 + -16x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
-28 + -16x = 4 + 0
-28 + -16x = 4

Add '28' to each side of the equation.
-28 + 28 + -16x = 4 + 28

Combine like terms: -28 + 28 = 0
0 + -16x = 4 + 28
-16x = 4 + 28

Combine like terms: 4 + 28 = 32
-16x = 32

Divide each side by '-16'.
x = -2

Simplifying
x = -2

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