2x+15=6x-32

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Solution for 2x+15=6x-32 equation:


Simplifying
2x + 15 = 6x + -32

Reorder the terms:
15 + 2x = 6x + -32

Reorder the terms:
15 + 2x = -32 + 6x

Solving
15 + 2x = -32 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 2x + -6x = -32 + 6x + -6x

Combine like terms: 2x + -6x = -4x
15 + -4x = -32 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -4x = -32 + 0
15 + -4x = -32

Add '-15' to each side of the equation.
15 + -15 + -4x = -32 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -32 + -15
-4x = -32 + -15

Combine like terms: -32 + -15 = -47
-4x = -47

Divide each side by '-4'.
x = 11.75

Simplifying
x = 11.75

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