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

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


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

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

Combine like terms: 8x + x = 9x
16 + 9x = 4(x + 3) + 2

Reorder the terms:
16 + 9x = 4(3 + x) + 2
16 + 9x = (3 * 4 + x * 4) + 2
16 + 9x = (12 + 4x) + 2

Reorder the terms:
16 + 9x = 12 + 2 + 4x

Combine like terms: 12 + 2 = 14
16 + 9x = 14 + 4x

Solving
16 + 9x = 14 + 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.
16 + 9x + -4x = 14 + 4x + -4x

Combine like terms: 9x + -4x = 5x
16 + 5x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 5x = 14 + 0
16 + 5x = 14

Add '-16' to each side of the equation.
16 + -16 + 5x = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 14 + -16
5x = 14 + -16

Combine like terms: 14 + -16 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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