6x-16=32x+20

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Solution for 6x-16=32x+20 equation:


Simplifying
6x + -16 = 32x + 20

Reorder the terms:
-16 + 6x = 32x + 20

Reorder the terms:
-16 + 6x = 20 + 32x

Solving
-16 + 6x = 20 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-16 + 6x + -32x = 20 + 32x + -32x

Combine like terms: 6x + -32x = -26x
-16 + -26x = 20 + 32x + -32x

Combine like terms: 32x + -32x = 0
-16 + -26x = 20 + 0
-16 + -26x = 20

Add '16' to each side of the equation.
-16 + 16 + -26x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + -26x = 20 + 16
-26x = 20 + 16

Combine like terms: 20 + 16 = 36
-26x = 36

Divide each side by '-26'.
x = -1.384615385

Simplifying
x = -1.384615385

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