-(x-5)-6(x+2)=5(x+3)

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Solution for -(x-5)-6(x+2)=5(x+3) equation:


Simplifying
-1(x + -5) + -6(x + 2) = 5(x + 3)

Reorder the terms:
-1(-5 + x) + -6(x + 2) = 5(x + 3)
(-5 * -1 + x * -1) + -6(x + 2) = 5(x + 3)
(5 + -1x) + -6(x + 2) = 5(x + 3)

Reorder the terms:
5 + -1x + -6(2 + x) = 5(x + 3)
5 + -1x + (2 * -6 + x * -6) = 5(x + 3)
5 + -1x + (-12 + -6x) = 5(x + 3)

Reorder the terms:
5 + -12 + -1x + -6x = 5(x + 3)

Combine like terms: 5 + -12 = -7
-7 + -1x + -6x = 5(x + 3)

Combine like terms: -1x + -6x = -7x
-7 + -7x = 5(x + 3)

Reorder the terms:
-7 + -7x = 5(3 + x)
-7 + -7x = (3 * 5 + x * 5)
-7 + -7x = (15 + 5x)

Solving
-7 + -7x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + -7x + -5x = 15 + 5x + -5x

Combine like terms: -7x + -5x = -12x
-7 + -12x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -12x = 15 + 0
-7 + -12x = 15

Add '7' to each side of the equation.
-7 + 7 + -12x = 15 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = 15 + 7
-12x = 15 + 7

Combine like terms: 15 + 7 = 22
-12x = 22

Divide each side by '-12'.
x = -1.833333333

Simplifying
x = -1.833333333

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