-(x-2)+8(1-4x)=-23

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Solution for -(x-2)+8(1-4x)=-23 equation: 


Simplifying
-1(x + -2) + 8(1 + -4x) = -23

Reorder the terms:
-1(-2 + x) + 8(1 + -4x) = -23
(-2 * -1 + x * -1) + 8(1 + -4x) = -23
(2 + -1x) + 8(1 + -4x) = -23
2 + -1x + (1 * 8 + -4x * 8) = -23
2 + -1x + (8 + -32x) = -23

Reorder the terms:
2 + 8 + -1x + -32x = -23

Combine like terms: 2 + 8 = 10
10 + -1x + -32x = -23

Combine like terms: -1x + -32x = -33x
10 + -33x = -23

Solving
10 + -33x = -23

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -33x = -23 + -10

Combine like terms: 10 + -10 = 0
0 + -33x = -23 + -10
-33x = -23 + -10

Combine like terms: -23 + -10 = -33
-33x = -33

Divide each side by '-33'.
x = 1

Simplifying
x = 1

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