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

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


Simplifying
5(x + 2) = (2x)(-5)

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

Remove parenthesis around (2x)
10 + 5x = 2x(-5)

Reorder the terms for easier multiplication:
10 + 5x = 2 * -5x

Multiply 2 * -5
10 + 5x = -10x

Solving
10 + 5x = -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
10 + 5x + 10x = -10x + 10x

Combine like terms: 5x + 10x = 15x
10 + 15x = -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 15x = 0

Add '-10' to each side of the equation.
10 + -10 + 15x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 15x = 0 + -10
15x = 0 + -10

Combine like terms: 0 + -10 = -10
15x = -10

Divide each side by '15'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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