3(x-6)+2x=5(x+5)-43

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Solution for 3(x-6)+2x=5(x+5)-43 equation:


Simplifying
3(x + -6) + 2x = 5(x + 5) + -43

Reorder the terms:
3(-6 + x) + 2x = 5(x + 5) + -43
(-6 * 3 + x * 3) + 2x = 5(x + 5) + -43
(-18 + 3x) + 2x = 5(x + 5) + -43

Combine like terms: 3x + 2x = 5x
-18 + 5x = 5(x + 5) + -43

Reorder the terms:
-18 + 5x = 5(5 + x) + -43
-18 + 5x = (5 * 5 + x * 5) + -43
-18 + 5x = (25 + 5x) + -43

Reorder the terms:
-18 + 5x = 25 + -43 + 5x

Combine like terms: 25 + -43 = -18
-18 + 5x = -18 + 5x

Add '18' to each side of the equation.
-18 + 18 + 5x = -18 + 18 + 5x

Combine like terms: -18 + 18 = 0
0 + 5x = -18 + 18 + 5x
5x = -18 + 18 + 5x

Combine like terms: -18 + 18 = 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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