7.5x-9+2x=3x+23-4x

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Solution for 7.5x-9+2x=3x+23-4x equation:


Simplifying
7.5x + -9 + 2x = 3x + 23 + -4x

Reorder the terms:
-9 + 7.5x + 2x = 3x + 23 + -4x

Combine like terms: 7.5x + 2x = 9.5x
-9 + 9.5x = 3x + 23 + -4x

Reorder the terms:
-9 + 9.5x = 23 + 3x + -4x

Combine like terms: 3x + -4x = -1x
-9 + 9.5x = 23 + -1x

Solving
-9 + 9.5x = 23 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + 9.5x + x = 23 + -1x + x

Combine like terms: 9.5x + x = 10.5x
-9 + 10.5x = 23 + -1x + x

Combine like terms: -1x + x = 0
-9 + 10.5x = 23 + 0
-9 + 10.5x = 23

Add '9' to each side of the equation.
-9 + 9 + 10.5x = 23 + 9

Combine like terms: -9 + 9 = 0
0 + 10.5x = 23 + 9
10.5x = 23 + 9

Combine like terms: 23 + 9 = 32
10.5x = 32

Divide each side by '10.5'.
x = 3.047619048

Simplifying
x = 3.047619048

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