3x+4=0.75x-2

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Solution for 3x+4=0.75x-2 equation:


Simplifying
3x + 4 = 0.75x + -2

Reorder the terms:
4 + 3x = 0.75x + -2

Reorder the terms:
4 + 3x = -2 + 0.75x

Solving
4 + 3x = -2 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
4 + 3x + -0.75x = -2 + 0.75x + -0.75x

Combine like terms: 3x + -0.75x = 2.25x
4 + 2.25x = -2 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
4 + 2.25x = -2 + 0.00
4 + 2.25x = -2

Add '-4' to each side of the equation.
4 + -4 + 2.25x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 2.25x = -2 + -4
2.25x = -2 + -4

Combine like terms: -2 + -4 = -6
2.25x = -6

Divide each side by '2.25'.
x = -2.666666667

Simplifying
x = -2.666666667

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