3x-5=1.5x+7

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Solution for 3x-5=1.5x+7 equation:


Simplifying
3x + -5 = 1.5x + 7

Reorder the terms:
-5 + 3x = 1.5x + 7

Reorder the terms:
-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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