x-3=1.5x-4

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Solution for x-3=1.5x-4 equation:


Simplifying
x + -3 = 1.5x + -4

Reorder the terms:
-3 + x = 1.5x + -4

Reorder the terms:
-3 + x = -4 + 1.5x

Solving
-3 + x = -4 + 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.
-3 + x + -1.5x = -4 + 1.5x + -1.5x

Combine like terms: x + -1.5x = -0.5x
-3 + -0.5x = -4 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-3 + -0.5x = -4 + 0.0
-3 + -0.5x = -4

Add '3' to each side of the equation.
-3 + 3 + -0.5x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + -0.5x = -4 + 3
-0.5x = -4 + 3

Combine like terms: -4 + 3 = -1
-0.5x = -1

Divide each side by '-0.5'.
x = 2

Simplifying
x = 2

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