2(x-5)-(8x-2)=0

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Solution for 2(x-5)-(8x-2)=0 equation:


Simplifying
2(x + -5) + -1(8x + -2) = 0

Reorder the terms:
2(-5 + x) + -1(8x + -2) = 0
(-5 * 2 + x * 2) + -1(8x + -2) = 0
(-10 + 2x) + -1(8x + -2) = 0

Reorder the terms:
-10 + 2x + -1(-2 + 8x) = 0
-10 + 2x + (-2 * -1 + 8x * -1) = 0
-10 + 2x + (2 + -8x) = 0

Reorder the terms:
-10 + 2 + 2x + -8x = 0

Combine like terms: -10 + 2 = -8
-8 + 2x + -8x = 0

Combine like terms: 2x + -8x = -6x
-8 + -6x = 0

Solving
-8 + -6x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -6x = 0 + 8

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

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

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333

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