7+3x-1.5=3x+2.5+x

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Solution for 7+3x-1.5=3x+2.5+x equation:


Simplifying
7 + 3x + -1.5 = 3x + 2.5 + x

Reorder the terms:
7 + -1.5 + 3x = 3x + 2.5 + x

Combine like terms: 7 + -1.5 = 5.5
5.5 + 3x = 3x + 2.5 + x

Reorder the terms:
5.5 + 3x = 2.5 + 3x + x

Combine like terms: 3x + x = 4x
5.5 + 3x = 2.5 + 4x

Solving
5.5 + 3x = 2.5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5.5 + 3x + -4x = 2.5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5.5 + -1x = 2.5 + 4x + -4x

Combine like terms: 4x + -4x = 0
5.5 + -1x = 2.5 + 0
5.5 + -1x = 2.5

Add '-5.5' to each side of the equation.
5.5 + -5.5 + -1x = 2.5 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -1x = 2.5 + -5.5
-1x = 2.5 + -5.5

Combine like terms: 2.5 + -5.5 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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