8-2(4x+1)=4x-2(2x+9)

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Solution for 8-2(4x+1)=4x-2(2x+9) equation:


Simplifying
8 + -2(4x + 1) = 4x + -2(2x + 9)

Reorder the terms:
8 + -2(1 + 4x) = 4x + -2(2x + 9)
8 + (1 * -2 + 4x * -2) = 4x + -2(2x + 9)
8 + (-2 + -8x) = 4x + -2(2x + 9)

Combine like terms: 8 + -2 = 6
6 + -8x = 4x + -2(2x + 9)

Reorder the terms:
6 + -8x = 4x + -2(9 + 2x)
6 + -8x = 4x + (9 * -2 + 2x * -2)
6 + -8x = 4x + (-18 + -4x)

Reorder the terms:
6 + -8x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -8x = -18 + 0
6 + -8x = -18

Solving
6 + -8x = -18

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -8x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -18 + -6
-8x = -18 + -6

Combine like terms: -18 + -6 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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