.20(10+15x)+8=3x-6+x

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Solution for .20(10+15x)+8=3x-6+x equation: 


Simplifying
0.20(10 + 15x) + 8 = 3x + -6 + x
(10 * 0.20 + 15x * 0.20) + 8 = 3x + -6 + x
(2 + 3x) + 8 = 3x + -6 + x

Reorder the terms:
2 + 8 + 3x = 3x + -6 + x

Combine like terms: 2 + 8 = 10
10 + 3x = 3x + -6 + x

Reorder the terms:
10 + 3x = -6 + 3x + x

Combine like terms: 3x + x = 4x
10 + 3x = -6 + 4x

Solving
10 + 3x = -6 + 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.
10 + 3x + -4x = -6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
10 + -1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1x = -6 + 0
10 + -1x = -6

Add '-10' to each side of the equation.
10 + -10 + -1x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -6 + -10
-1x = -6 + -10

Combine like terms: -6 + -10 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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