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

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


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

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

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

Combine like terms: -9 + 1 = -8
-8 + 3x = 5x + -1(2x + 5) + -3

Reorder the terms:
-8 + 3x = 5x + -1(5 + 2x) + -3
-8 + 3x = 5x + (5 * -1 + 2x * -1) + -3
-8 + 3x = 5x + (-5 + -2x) + -3

Reorder the terms:
-8 + 3x = -5 + -3 + 5x + -2x

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

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

Add '8' to each side of the equation.
-8 + 8 + 3x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 0
0 + 3x = -8 + 8 + 3x
3x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 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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