0.5x+0.75-2=4x-2+6

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Solution for 0.5x+0.75-2=4x-2+6 equation: 


Simplifying
0.5x + 0.75 + -2 = 4x + -2 + 6

Reorder the terms:
0.75 + -2 + 0.5x = 4x + -2 + 6

Combine like terms: 0.75 + -2 = -1.25
-1.25 + 0.5x = 4x + -2 + 6

Reorder the terms:
-1.25 + 0.5x = -2 + 6 + 4x

Combine like terms: -2 + 6 = 4
-1.25 + 0.5x = 4 + 4x

Solving
-1.25 + 0.5x = 4 + 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.
-1.25 + 0.5x + -4x = 4 + 4x + -4x

Combine like terms: 0.5x + -4x = -3.5x
-1.25 + -3.5x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1.25 + -3.5x = 4 + 0
-1.25 + -3.5x = 4

Add '1.25' to each side of the equation.
-1.25 + 1.25 + -3.5x = 4 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + -3.5x = 4 + 1.25
-3.5x = 4 + 1.25

Combine like terms: 4 + 1.25 = 5.25
-3.5x = 5.25

Divide each side by '-3.5'.
x = -1.5

Simplifying
x = -1.5

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