4x+3.75=x-6

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Solution for 4x+3.75=x-6 equation: 


Simplifying
4x + 3.75 = x + -6

Reorder the terms:
3.75 + 4x = x + -6

Reorder the terms:
3.75 + 4x = -6 + x

Solving
3.75 + 4x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3.75 + 4x + -1x = -6 + x + -1x

Combine like terms: 4x + -1x = 3x
3.75 + 3x = -6 + x + -1x

Combine like terms: x + -1x = 0
3.75 + 3x = -6 + 0
3.75 + 3x = -6

Add '-3.75' to each side of the equation.
3.75 + -3.75 + 3x = -6 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 3x = -6 + -3.75
3x = -6 + -3.75

Combine like terms: -6 + -3.75 = -9.75
3x = -9.75

Divide each side by '3'.
x = -3.25

Simplifying
x = -3.25

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