-5(x-2)+6=1(x+5)

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Solution for -5(x-2)+6=1(x+5) equation: 


Simplifying
-5(x + -2) + 6 = 1(x + 5)

Reorder the terms:
-5(-2 + x) + 6 = 1(x + 5)
(-2 * -5 + x * -5) + 6 = 1(x + 5)
(10 + -5x) + 6 = 1(x + 5)

Reorder the terms:
10 + 6 + -5x = 1(x + 5)

Combine like terms: 10 + 6 = 16
16 + -5x = 1(x + 5)

Reorder the terms:
16 + -5x = 1(5 + x)
16 + -5x = (5 * 1 + x * 1)
16 + -5x = (5 + 1x)

Solving
16 + -5x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + -5x + -1x = 5 + 1x + -1x

Combine like terms: -5x + -1x = -6x
16 + -6x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
16 + -6x = 5 + 0
16 + -6x = 5

Add '-16' to each side of the equation.
16 + -16 + -6x = 5 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = 5 + -16
-6x = 5 + -16

Combine like terms: 5 + -16 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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