5(x-7)+8=2x+3(x-9)

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Solution for 5(x-7)+8=2x+3(x-9) equation:


Simplifying
5(x + -7) + 8 = 2x + 3(x + -9)

Reorder the terms:
5(-7 + x) + 8 = 2x + 3(x + -9)
(-7 * 5 + x * 5) + 8 = 2x + 3(x + -9)
(-35 + 5x) + 8 = 2x + 3(x + -9)

Reorder the terms:
-35 + 8 + 5x = 2x + 3(x + -9)

Combine like terms: -35 + 8 = -27
-27 + 5x = 2x + 3(x + -9)

Reorder the terms:
-27 + 5x = 2x + 3(-9 + x)
-27 + 5x = 2x + (-9 * 3 + x * 3)
-27 + 5x = 2x + (-27 + 3x)

Reorder the terms:
-27 + 5x = -27 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-27 + 5x = -27 + 5x

Add '27' to each side of the equation.
-27 + 27 + 5x = -27 + 27 + 5x

Combine like terms: -27 + 27 = 0
0 + 5x = -27 + 27 + 5x
5x = -27 + 27 + 5x

Combine like terms: -27 + 27 = 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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