4x+6=32x+192

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Solution for 4x+6=32x+192 equation:


Simplifying
4x + 6 = 32x + 192

Reorder the terms:
6 + 4x = 32x + 192

Reorder the terms:
6 + 4x = 192 + 32x

Solving
6 + 4x = 192 + 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.
6 + 4x + -32x = 192 + 32x + -32x

Combine like terms: 4x + -32x = -28x
6 + -28x = 192 + 32x + -32x

Combine like terms: 32x + -32x = 0
6 + -28x = 192 + 0
6 + -28x = 192

Add '-6' to each side of the equation.
6 + -6 + -28x = 192 + -6

Combine like terms: 6 + -6 = 0
0 + -28x = 192 + -6
-28x = 192 + -6

Combine like terms: 192 + -6 = 186
-28x = 186

Divide each side by '-28'.
x = -6.642857143

Simplifying
x = -6.642857143

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