.75x+2=4x-1

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Solution for .75x+2=4x-1 equation:


Simplifying
0.75x + 2 = 4x + -1

Reorder the terms:
2 + 0.75x = 4x + -1

Reorder the terms:
2 + 0.75x = -1 + 4x

Solving
2 + 0.75x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 0.75x + -4x = -1 + 4x + -4x

Combine like terms: 0.75x + -4x = -3.25x
2 + -3.25x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -3.25x = -1 + 0
2 + -3.25x = -1

Add '-2' to each side of the equation.
2 + -2 + -3.25x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3.25x = -1 + -2
-3.25x = -1 + -2

Combine like terms: -1 + -2 = -3
-3.25x = -3

Divide each side by '-3.25'.
x = 0.9230769231

Simplifying
x = 0.9230769231

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