8[2-(3x+6x)]-2x=-10+2(1-25x)

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Solution for 8[2-(3x+6x)]-2x=-10+2(1-25x) equation:


Simplifying
8[2 + -1(3x + 6x)] + -2x = -10 + 2(1 + -25x)

Combine like terms: 3x + 6x = 9x
8[2 + -1(9x)] + -2x = -10 + 2(1 + -25x)

Remove parenthesis around (9x)
8[2 + -1 * 9x] + -2x = -10 + 2(1 + -25x)

Multiply -1 * 9
8[2 + -9x] + -2x = -10 + 2(1 + -25x)
[2 * 8 + -9x * 8] + -2x = -10 + 2(1 + -25x)
[16 + -72x] + -2x = -10 + 2(1 + -25x)

Combine like terms: -72x + -2x = -74x
16 + -74x = -10 + 2(1 + -25x)
16 + -74x = -10 + (1 * 2 + -25x * 2)
16 + -74x = -10 + (2 + -50x)

Combine like terms: -10 + 2 = -8
16 + -74x = -8 + -50x

Solving
16 + -74x = -8 + -50x

Solving for variable 'x'.

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

Add '50x' to each side of the equation.
16 + -74x + 50x = -8 + -50x + 50x

Combine like terms: -74x + 50x = -24x
16 + -24x = -8 + -50x + 50x

Combine like terms: -50x + 50x = 0
16 + -24x = -8 + 0
16 + -24x = -8

Add '-16' to each side of the equation.
16 + -16 + -24x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -24x = -8 + -16
-24x = -8 + -16

Combine like terms: -8 + -16 = -24
-24x = -24

Divide each side by '-24'.
x = 1

Simplifying
x = 1

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