.75x-33=7x-24

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Solution for .75x-33=7x-24 equation:


Simplifying
0.75x + -33 = 7x + -24

Reorder the terms:
-33 + 0.75x = 7x + -24

Reorder the terms:
-33 + 0.75x = -24 + 7x

Solving
-33 + 0.75x = -24 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-33 + 0.75x + -7x = -24 + 7x + -7x

Combine like terms: 0.75x + -7x = -6.25x
-33 + -6.25x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
-33 + -6.25x = -24 + 0
-33 + -6.25x = -24

Add '33' to each side of the equation.
-33 + 33 + -6.25x = -24 + 33

Combine like terms: -33 + 33 = 0
0 + -6.25x = -24 + 33
-6.25x = -24 + 33

Combine like terms: -24 + 33 = 9
-6.25x = 9

Divide each side by '-6.25'.
x = -1.44

Simplifying
x = -1.44

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