0.5(6x+8)+8=4x-10

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Solution for 0.5(6x+8)+8=4x-10 equation: 


Simplifying
0.5(6x + 8) + 8 = 4x + -10

Reorder the terms:
0.5(8 + 6x) + 8 = 4x + -10
(8 * 0.5 + 6x * 0.5) + 8 = 4x + -10
(4 + 3x) + 8 = 4x + -10

Reorder the terms:
4 + 8 + 3x = 4x + -10

Combine like terms: 4 + 8 = 12
12 + 3x = 4x + -10

Reorder the terms:
12 + 3x = -10 + 4x

Solving
12 + 3x = -10 + 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.
12 + 3x + -4x = -10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = -10 + 0
12 + -1x = -10

Add '-12' to each side of the equation.
12 + -12 + -1x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -10 + -12
-1x = -10 + -12

Combine like terms: -10 + -12 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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