2+8(x-1)=2-(x+4)

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Solution for 2+8(x-1)=2-(x+4) equation:


Simplifying
2 + 8(x + -1) = 2 + -1(x + 4)

Reorder the terms:
2 + 8(-1 + x) = 2 + -1(x + 4)
2 + (-1 * 8 + x * 8) = 2 + -1(x + 4)
2 + (-8 + 8x) = 2 + -1(x + 4)

Combine like terms: 2 + -8 = -6
-6 + 8x = 2 + -1(x + 4)

Reorder the terms:
-6 + 8x = 2 + -1(4 + x)
-6 + 8x = 2 + (4 * -1 + x * -1)
-6 + 8x = 2 + (-4 + -1x)

Combine like terms: 2 + -4 = -2
-6 + 8x = -2 + -1x

Solving
-6 + 8x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 8x + x = -2 + -1x + x

Combine like terms: 8x + x = 9x
-6 + 9x = -2 + -1x + x

Combine like terms: -1x + x = 0
-6 + 9x = -2 + 0
-6 + 9x = -2

Add '6' to each side of the equation.
-6 + 6 + 9x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = -2 + 6
9x = -2 + 6

Combine like terms: -2 + 6 = 4
9x = 4

Divide each side by '9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

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