2-8(x+5)=2-2(x-4)

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Solution for 2-8(x+5)=2-2(x-4) equation:


Simplifying
2 + -8(x + 5) = 2 + -2(x + -4)

Reorder the terms:
2 + -8(5 + x) = 2 + -2(x + -4)
2 + (5 * -8 + x * -8) = 2 + -2(x + -4)
2 + (-40 + -8x) = 2 + -2(x + -4)

Combine like terms: 2 + -40 = -38
-38 + -8x = 2 + -2(x + -4)

Reorder the terms:
-38 + -8x = 2 + -2(-4 + x)
-38 + -8x = 2 + (-4 * -2 + x * -2)
-38 + -8x = 2 + (8 + -2x)

Combine like terms: 2 + 8 = 10
-38 + -8x = 10 + -2x

Solving
-38 + -8x = 10 + -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.
-38 + -8x + 2x = 10 + -2x + 2x

Combine like terms: -8x + 2x = -6x
-38 + -6x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-38 + -6x = 10 + 0
-38 + -6x = 10

Add '38' to each side of the equation.
-38 + 38 + -6x = 10 + 38

Combine like terms: -38 + 38 = 0
0 + -6x = 10 + 38
-6x = 10 + 38

Combine like terms: 10 + 38 = 48
-6x = 48

Divide each side by '-6'.
x = -8

Simplifying
x = -8

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