5(x-2)+3x=10x-2(x+5)

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Solution for 5(x-2)+3x=10x-2(x+5) equation:


Simplifying
5(x + -2) + 3x = 10x + -2(x + 5)

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

Combine like terms: 5x + 3x = 8x
-10 + 8x = 10x + -2(x + 5)

Reorder the terms:
-10 + 8x = 10x + -2(5 + x)
-10 + 8x = 10x + (5 * -2 + x * -2)
-10 + 8x = 10x + (-10 + -2x)

Reorder the terms:
-10 + 8x = -10 + 10x + -2x

Combine like terms: 10x + -2x = 8x
-10 + 8x = -10 + 8x

Add '10' to each side of the equation.
-10 + 10 + 8x = -10 + 10 + 8x

Combine like terms: -10 + 10 = 0
0 + 8x = -10 + 10 + 8x
8x = -10 + 10 + 8x

Combine like terms: -10 + 10 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 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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