x+6+2x-1.5=4x-3

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Solution for x+6+2x-1.5=4x-3 equation:


Simplifying
x + 6 + 2x + -1.5 = 4x + -3

Reorder the terms:
6 + -1.5 + x + 2x = 4x + -3

Combine like terms: 6 + -1.5 = 4.5
4.5 + x + 2x = 4x + -3

Combine like terms: x + 2x = 3x
4.5 + 3x = 4x + -3

Reorder the terms:
4.5 + 3x = -3 + 4x

Solving
4.5 + 3x = -3 + 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.
4.5 + 3x + -4x = -3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
4.5 + -1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
4.5 + -1x = -3 + 0
4.5 + -1x = -3

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -1x = -3 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1x = -3 + -4.5
-1x = -3 + -4.5

Combine like terms: -3 + -4.5 = -7.5
-1x = -7.5

Divide each side by '-1'.
x = 7.5

Simplifying
x = 7.5

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