3x-5=2.5x+3-x+4

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Solution for 3x-5=2.5x+3-x+4 equation:


Simplifying
3x + -5 = 2.5x + 3 + -1x + 4

Reorder the terms:
-5 + 3x = 2.5x + 3 + -1x + 4

Reorder the terms:
-5 + 3x = 3 + 4 + 2.5x + -1x

Combine like terms: 3 + 4 = 7
-5 + 3x = 7 + 2.5x + -1x

Combine like terms: 2.5x + -1x = 1.5x
-5 + 3x = 7 + 1.5x

Solving
-5 + 3x = 7 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-5 + 3x + -1.5x = 7 + 1.5x + -1.5x

Combine like terms: 3x + -1.5x = 1.5x
-5 + 1.5x = 7 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-5 + 1.5x = 7 + 0.0
-5 + 1.5x = 7

Add '5' to each side of the equation.
-5 + 5 + 1.5x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 1.5x = 7 + 5
1.5x = 7 + 5

Combine like terms: 7 + 5 = 12
1.5x = 12

Divide each side by '1.5'.
x = 8

Simplifying
x = 8

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