.75x+.50=4x-2

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Solution for .75x+.50=4x-2 equation:


Simplifying
0.75x + 0.50 = 4x + -2

Reorder the terms:
0.50 + 0.75x = 4x + -2

Reorder the terms:
0.50 + 0.75x = -2 + 4x

Solving
0.50 + 0.75x = -2 + 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.
0.50 + 0.75x + -4x = -2 + 4x + -4x

Combine like terms: 0.75x + -4x = -3.25x
0.50 + -3.25x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
0.50 + -3.25x = -2 + 0
0.50 + -3.25x = -2

Add '-0.50' to each side of the equation.
0.50 + -0.50 + -3.25x = -2 + -0.50

Combine like terms: 0.50 + -0.50 = 0.00
0.00 + -3.25x = -2 + -0.50
-3.25x = -2 + -0.50

Combine like terms: -2 + -0.50 = -2.5
-3.25x = -2.5

Divide each side by '-3.25'.
x = 0.7692307692

Simplifying
x = 0.7692307692

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