6x+37=15x-32

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Solution for 6x+37=15x-32 equation:


Simplifying
6x + 37 = 15x + -32

Reorder the terms:
37 + 6x = 15x + -32

Reorder the terms:
37 + 6x = -32 + 15x

Solving
37 + 6x = -32 + 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.
37 + 6x + -15x = -32 + 15x + -15x

Combine like terms: 6x + -15x = -9x
37 + -9x = -32 + 15x + -15x

Combine like terms: 15x + -15x = 0
37 + -9x = -32 + 0
37 + -9x = -32

Add '-37' to each side of the equation.
37 + -37 + -9x = -32 + -37

Combine like terms: 37 + -37 = 0
0 + -9x = -32 + -37
-9x = -32 + -37

Combine like terms: -32 + -37 = -69
-9x = -69

Divide each side by '-9'.
x = 7.666666667

Simplifying
x = 7.666666667

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