.75x-5=-2x+6

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Solution for .75x-5=-2x+6 equation:


Simplifying
0.75x + -5 = -2x + 6

Reorder the terms:
-5 + 0.75x = -2x + 6

Reorder the terms:
-5 + 0.75x = 6 + -2x

Solving
-5 + 0.75x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 0.75x + 2x = 6 + -2x + 2x

Combine like terms: 0.75x + 2x = 2.75x
-5 + 2.75x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 2.75x = 6 + 0
-5 + 2.75x = 6

Add '5' to each side of the equation.
-5 + 5 + 2.75x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 2.75x = 6 + 5
2.75x = 6 + 5

Combine like terms: 6 + 5 = 11
2.75x = 11

Divide each side by '2.75'.
x = 4

Simplifying
x = 4

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