2(x-8)+4(x+2)=x+3

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Solution for 2(x-8)+4(x+2)=x+3 equation: 


Simplifying
2(x + -8) + 4(x + 2) = x + 3

Reorder the terms:
2(-8 + x) + 4(x + 2) = x + 3
(-8 * 2 + x * 2) + 4(x + 2) = x + 3
(-16 + 2x) + 4(x + 2) = x + 3

Reorder the terms:
-16 + 2x + 4(2 + x) = x + 3
-16 + 2x + (2 * 4 + x * 4) = x + 3
-16 + 2x + (8 + 4x) = x + 3

Reorder the terms:
-16 + 8 + 2x + 4x = x + 3

Combine like terms: -16 + 8 = -8
-8 + 2x + 4x = x + 3

Combine like terms: 2x + 4x = 6x
-8 + 6x = x + 3

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

Solving
-8 + 6x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 6x + -1x = 3 + x + -1x

Combine like terms: 6x + -1x = 5x
-8 + 5x = 3 + x + -1x

Combine like terms: x + -1x = 0
-8 + 5x = 3 + 0
-8 + 5x = 3

Add '8' to each side of the equation.
-8 + 8 + 5x = 3 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 3 + 8
5x = 3 + 8

Combine like terms: 3 + 8 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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