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

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


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

Reorder the terms:
5(-1 + 2x) + 16 = -3(x + 5)
(-1 * 5 + 2x * 5) + 16 = -3(x + 5)
(-5 + 10x) + 16 = -3(x + 5)

Reorder the terms:
-5 + 16 + 10x = -3(x + 5)

Combine like terms: -5 + 16 = 11
11 + 10x = -3(x + 5)

Reorder the terms:
11 + 10x = -3(5 + x)
11 + 10x = (5 * -3 + x * -3)
11 + 10x = (-15 + -3x)

Solving
11 + 10x = -15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
11 + 10x + 3x = -15 + -3x + 3x

Combine like terms: 10x + 3x = 13x
11 + 13x = -15 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 13x = -15 + 0
11 + 13x = -15

Add '-11' to each side of the equation.
11 + -11 + 13x = -15 + -11

Combine like terms: 11 + -11 = 0
0 + 13x = -15 + -11
13x = -15 + -11

Combine like terms: -15 + -11 = -26
13x = -26

Divide each side by '13'.
x = -2

Simplifying
x = -2

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