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

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


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

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

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

Reorder the terms:
10 + 2x = 10 + -3x + 5x

Combine like terms: -3x + 5x = 2x
10 + 2x = 10 + 2x

Add '-10' to each side of the equation.
10 + -10 + 2x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
0 + 2x = 10 + -10 + 2x
2x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
2x = 0 + 2x
2x = 2x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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