2x-43=15x+38

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Solution for 2x-43=15x+38 equation:


Simplifying
2x + -43 = 15x + 38

Reorder the terms:
-43 + 2x = 15x + 38

Reorder the terms:
-43 + 2x = 38 + 15x

Solving
-43 + 2x = 38 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
-43 + 2x + -15x = 38 + 15x + -15x

Combine like terms: 2x + -15x = -13x
-43 + -13x = 38 + 15x + -15x

Combine like terms: 15x + -15x = 0
-43 + -13x = 38 + 0
-43 + -13x = 38

Add '43' to each side of the equation.
-43 + 43 + -13x = 38 + 43

Combine like terms: -43 + 43 = 0
0 + -13x = 38 + 43
-13x = 38 + 43

Combine like terms: 38 + 43 = 81
-13x = 81

Divide each side by '-13'.
x = -6.230769231

Simplifying
x = -6.230769231

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