-5(x+3)+x=6(-7-x)

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Solution for -5(x+3)+x=6(-7-x) equation:


Simplifying
-5(x + 3) + x = 6(-7 + -1x)

Reorder the terms:
-5(3 + x) + x = 6(-7 + -1x)
(3 * -5 + x * -5) + x = 6(-7 + -1x)
(-15 + -5x) + x = 6(-7 + -1x)

Combine like terms: -5x + x = -4x
-15 + -4x = 6(-7 + -1x)
-15 + -4x = (-7 * 6 + -1x * 6)
-15 + -4x = (-42 + -6x)

Solving
-15 + -4x = -42 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-15 + -4x + 6x = -42 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-15 + 2x = -42 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 2x = -42 + 0
-15 + 2x = -42

Add '15' to each side of the equation.
-15 + 15 + 2x = -42 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -42 + 15
2x = -42 + 15

Combine like terms: -42 + 15 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5

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