6x+32=8x-6

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Solution for 6x+32=8x-6 equation:


Simplifying
6x + 32 = 8x + -6

Reorder the terms:
32 + 6x = 8x + -6

Reorder the terms:
32 + 6x = -6 + 8x

Solving
32 + 6x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
32 + 6x + -8x = -6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
32 + -2x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
32 + -2x = -6 + 0
32 + -2x = -6

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

Combine like terms: 32 + -32 = 0
0 + -2x = -6 + -32
-2x = -6 + -32

Combine like terms: -6 + -32 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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