6+5(2-5x)=12x-(x+8)

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Solution for 6+5(2-5x)=12x-(x+8) equation: 


Simplifying
6 + 5(2 + -5x) = 12x + -1(x + 8)
6 + (2 * 5 + -5x * 5) = 12x + -1(x + 8)
6 + (10 + -25x) = 12x + -1(x + 8)

Combine like terms: 6 + 10 = 16
16 + -25x = 12x + -1(x + 8)

Reorder the terms:
16 + -25x = 12x + -1(8 + x)
16 + -25x = 12x + (8 * -1 + x * -1)
16 + -25x = 12x + (-8 + -1x)

Reorder the terms:
16 + -25x = -8 + 12x + -1x

Combine like terms: 12x + -1x = 11x
16 + -25x = -8 + 11x

Solving
16 + -25x = -8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
16 + -25x + -11x = -8 + 11x + -11x

Combine like terms: -25x + -11x = -36x
16 + -36x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
16 + -36x = -8 + 0
16 + -36x = -8

Add '-16' to each side of the equation.
16 + -16 + -36x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -36x = -8 + -16
-36x = -8 + -16

Combine like terms: -8 + -16 = -24
-36x = -24

Divide each side by '-36'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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