3(x-5)=x+2(x-7.5)

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Solution for 3(x-5)=x+2(x-7.5) equation: 


Simplifying
3(x + -5) = x + 2(x + -7.5)

Reorder the terms:
3(-5 + x) = x + 2(x + -7.5)
(-5 * 3 + x * 3) = x + 2(x + -7.5)
(-15 + 3x) = x + 2(x + -7.5)

Reorder the terms:
-15 + 3x = x + 2(-7.5 + x)
-15 + 3x = x + (-7.5 * 2 + x * 2)
-15 + 3x = x + (-15 + 2x)

Reorder the terms:
-15 + 3x = -15 + x + 2x

Combine like terms: x + 2x = 3x
-15 + 3x = -15 + 3x

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

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

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

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

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

Combine like terms: 3x + -3x = 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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