3x-7.5-2x+6=2-x+5

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Solution for 3x-7.5-2x+6=2-x+5 equation:


Simplifying
3x + -7.5 + -2x + 6 = 2 + -1x + 5

Reorder the terms:
-7.5 + 6 + 3x + -2x = 2 + -1x + 5

Combine like terms: -7.5 + 6 = -1.5
-1.5 + 3x + -2x = 2 + -1x + 5

Combine like terms: 3x + -2x = 1x
-1.5 + 1x = 2 + -1x + 5

Reorder the terms:
-1.5 + 1x = 2 + 5 + -1x

Combine like terms: 2 + 5 = 7
-1.5 + 1x = 7 + -1x

Solving
-1.5 + 1x = 7 + -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.
-1.5 + 1x + x = 7 + -1x + x

Combine like terms: 1x + x = 2x
-1.5 + 2x = 7 + -1x + x

Combine like terms: -1x + x = 0
-1.5 + 2x = 7 + 0
-1.5 + 2x = 7

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2x = 7 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2x = 7 + 1.5
2x = 7 + 1.5

Combine like terms: 7 + 1.5 = 8.5
2x = 8.5

Divide each side by '2'.
x = 4.25

Simplifying
x = 4.25

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