2(x-5)+3x=5(x+4)-30

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Solution for 2(x-5)+3x=5(x+4)-30 equation: 


Simplifying
2(x + -5) + 3x = 5(x + 4) + -30

Reorder the terms:
2(-5 + x) + 3x = 5(x + 4) + -30
(-5 * 2 + x * 2) + 3x = 5(x + 4) + -30
(-10 + 2x) + 3x = 5(x + 4) + -30

Combine like terms: 2x + 3x = 5x
-10 + 5x = 5(x + 4) + -30

Reorder the terms:
-10 + 5x = 5(4 + x) + -30
-10 + 5x = (4 * 5 + x * 5) + -30
-10 + 5x = (20 + 5x) + -30

Reorder the terms:
-10 + 5x = 20 + -30 + 5x

Combine like terms: 20 + -30 = -10
-10 + 5x = -10 + 5x

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

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

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

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

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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