3x+4=1.5x-2

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Solution for 3x+4=1.5x-2 equation: 


Simplifying
3x + 4 = 1.5x + -2

Reorder the terms:
4 + 3x = 1.5x + -2

Reorder the terms:
4 + 3x = -2 + 1.5x

Solving
4 + 3x = -2 + 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.
4 + 3x + -1.5x = -2 + 1.5x + -1.5x

Combine like terms: 3x + -1.5x = 1.5x
4 + 1.5x = -2 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
4 + 1.5x = -2 + 0.0
4 + 1.5x = -2

Add '-4' to each side of the equation.
4 + -4 + 1.5x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1.5x = -2 + -4
1.5x = -2 + -4

Combine like terms: -2 + -4 = -6
1.5x = -6

Divide each side by '1.5'.
x = -4

Simplifying
x = -4

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