2(x-25)-8(x-3)=5

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Solution for 2(x-25)-8(x-3)=5 equation: 


Simplifying
2(x + -25) + -8(x + -3) = 5

Reorder the terms:
2(-25 + x) + -8(x + -3) = 5
(-25 * 2 + x * 2) + -8(x + -3) = 5
(-50 + 2x) + -8(x + -3) = 5

Reorder the terms:
-50 + 2x + -8(-3 + x) = 5
-50 + 2x + (-3 * -8 + x * -8) = 5
-50 + 2x + (24 + -8x) = 5

Reorder the terms:
-50 + 24 + 2x + -8x = 5

Combine like terms: -50 + 24 = -26
-26 + 2x + -8x = 5

Combine like terms: 2x + -8x = -6x
-26 + -6x = 5

Solving
-26 + -6x = 5

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + -6x = 5 + 26

Combine like terms: -26 + 26 = 0
0 + -6x = 5 + 26
-6x = 5 + 26

Combine like terms: 5 + 26 = 31
-6x = 31

Divide each side by '-6'.
x = -5.166666667

Simplifying
x = -5.166666667

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