0.5(6x-8)+1=2x-3

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Solution for 0.5(6x-8)+1=2x-3 equation: 


Simplifying
0.5(6x + -8) + 1 = 2x + -3

Reorder the terms:
0.5(-8 + 6x) + 1 = 2x + -3
(-8 * 0.5 + 6x * 0.5) + 1 = 2x + -3
(-4 + 3x) + 1 = 2x + -3

Reorder the terms:
-4 + 1 + 3x = 2x + -3

Combine like terms: -4 + 1 = -3
-3 + 3x = 2x + -3

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

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

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

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

Solving
3x = 2x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -2x = 1x
1x = 2x + -2x

Combine like terms: 2x + -2x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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