0.5[4x-8]-7=3

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Solution for 0.5[4x-8]-7=3 equation:


Simplifying
0.5[4x + -8] + -7 = 3

Reorder the terms:
0.5[-8 + 4x] + -7 = 3
[-8 * 0.5 + 4x * 0.5] + -7 = 3
[-4 + 2x] + -7 = 3

Reorder the terms:
-4 + -7 + 2x = 3

Combine like terms: -4 + -7 = -11
-11 + 2x = 3

Solving
-11 + 2x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + 2x = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 3 + 11
2x = 3 + 11

Combine like terms: 3 + 11 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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