5(x-1)-2(x+3)=-16

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Solution for 5(x-1)-2(x+3)=-16 equation:


Simplifying
5(x + -1) + -2(x + 3) = -16

Reorder the terms:
5(-1 + x) + -2(x + 3) = -16
(-1 * 5 + x * 5) + -2(x + 3) = -16
(-5 + 5x) + -2(x + 3) = -16

Reorder the terms:
-5 + 5x + -2(3 + x) = -16
-5 + 5x + (3 * -2 + x * -2) = -16
-5 + 5x + (-6 + -2x) = -16

Reorder the terms:
-5 + -6 + 5x + -2x = -16

Combine like terms: -5 + -6 = -11
-11 + 5x + -2x = -16

Combine like terms: 5x + -2x = 3x
-11 + 3x = -16

Solving
-11 + 3x = -16

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = -16 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = -16 + 11
3x = -16 + 11

Combine like terms: -16 + 11 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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