5(x+9)+3=-5(x-1)-6

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Solution for 5(x+9)+3=-5(x-1)-6 equation:


Simplifying
5(x + 9) + 3 = -5(x + -1) + -6

Reorder the terms:
5(9 + x) + 3 = -5(x + -1) + -6
(9 * 5 + x * 5) + 3 = -5(x + -1) + -6
(45 + 5x) + 3 = -5(x + -1) + -6

Reorder the terms:
45 + 3 + 5x = -5(x + -1) + -6

Combine like terms: 45 + 3 = 48
48 + 5x = -5(x + -1) + -6

Reorder the terms:
48 + 5x = -5(-1 + x) + -6
48 + 5x = (-1 * -5 + x * -5) + -6
48 + 5x = (5 + -5x) + -6

Reorder the terms:
48 + 5x = 5 + -6 + -5x

Combine like terms: 5 + -6 = -1
48 + 5x = -1 + -5x

Solving
48 + 5x = -1 + -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.
48 + 5x + 5x = -1 + -5x + 5x

Combine like terms: 5x + 5x = 10x
48 + 10x = -1 + -5x + 5x

Combine like terms: -5x + 5x = 0
48 + 10x = -1 + 0
48 + 10x = -1

Add '-48' to each side of the equation.
48 + -48 + 10x = -1 + -48

Combine like terms: 48 + -48 = 0
0 + 10x = -1 + -48
10x = -1 + -48

Combine like terms: -1 + -48 = -49
10x = -49

Divide each side by '10'.
x = -4.9

Simplifying
x = -4.9

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