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

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


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

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

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

Reorder the terms:
4 + -3x = 6 + 1 + 3x

Combine like terms: 6 + 1 = 7
4 + -3x = 7 + 3x

Solving
4 + -3x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -3x + -3x = 7 + 3x + -3x

Combine like terms: -3x + -3x = -6x
4 + -6x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -6x = 7 + 0
4 + -6x = 7

Add '-4' to each side of the equation.
4 + -4 + -6x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 7 + -4
-6x = 7 + -4

Combine like terms: 7 + -4 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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