-5(x+8)+1(5-x)=1

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Solution for -5(x+8)+1(5-x)=1 equation: 


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

Reorder the terms:
-5(8 + x) + 1(5 + -1x) = 1
(8 * -5 + x * -5) + 1(5 + -1x) = 1
(-40 + -5x) + 1(5 + -1x) = 1
-40 + -5x + (5 * 1 + -1x * 1) = 1
-40 + -5x + (5 + -1x) = 1

Reorder the terms:
-40 + 5 + -5x + -1x = 1

Combine like terms: -40 + 5 = -35
-35 + -5x + -1x = 1

Combine like terms: -5x + -1x = -6x
-35 + -6x = 1

Solving
-35 + -6x = 1

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + -6x = 1 + 35

Combine like terms: -35 + 35 = 0
0 + -6x = 1 + 35
-6x = 1 + 35

Combine like terms: 1 + 35 = 36
-6x = 36

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

Simplifying
x = -6

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