-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 = -4
-4 + -5x = 1(x + 5)

Reorder the terms:
-4 + -5x = 1(5 + x)
-4 + -5x = (5 * 1 + x * 1)
-4 + -5x = (5 + 1x)

Solving
-4 + -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.
-4 + -5x + -1x = 5 + 1x + -1x

Combine like terms: -5x + -1x = -6x
-4 + -6x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
-4 + -6x = 5 + 0
-4 + -6x = 5

Add '4' to each side of the equation.
-4 + 4 + -6x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = 5 + 4
-6x = 5 + 4

Combine like terms: 5 + 4 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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