-7+3(x-3)+2x=5(x-3)-1

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Solution for -7+3(x-3)+2x=5(x-3)-1 equation:


Simplifying
-7 + 3(x + -3) + 2x = 5(x + -3) + -1

Reorder the terms:
-7 + 3(-3 + x) + 2x = 5(x + -3) + -1
-7 + (-3 * 3 + x * 3) + 2x = 5(x + -3) + -1
-7 + (-9 + 3x) + 2x = 5(x + -3) + -1

Combine like terms: -7 + -9 = -16
-16 + 3x + 2x = 5(x + -3) + -1

Combine like terms: 3x + 2x = 5x
-16 + 5x = 5(x + -3) + -1

Reorder the terms:
-16 + 5x = 5(-3 + x) + -1
-16 + 5x = (-3 * 5 + x * 5) + -1
-16 + 5x = (-15 + 5x) + -1

Reorder the terms:
-16 + 5x = -15 + -1 + 5x

Combine like terms: -15 + -1 = -16
-16 + 5x = -16 + 5x

Add '16' to each side of the equation.
-16 + 16 + 5x = -16 + 16 + 5x

Combine like terms: -16 + 16 = 0
0 + 5x = -16 + 16 + 5x
5x = -16 + 16 + 5x

Combine like terms: -16 + 16 = 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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