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

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


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

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

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

Combine like terms: 16 + 2 = 18
18 + 4x = 8x + 4(x + 2)

Reorder the terms:
18 + 4x = 8x + 4(2 + x)
18 + 4x = 8x + (2 * 4 + x * 4)
18 + 4x = 8x + (8 + 4x)

Reorder the terms:
18 + 4x = 8 + 8x + 4x

Combine like terms: 8x + 4x = 12x
18 + 4x = 8 + 12x

Solving
18 + 4x = 8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18 + 4x + -12x = 8 + 12x + -12x

Combine like terms: 4x + -12x = -8x
18 + -8x = 8 + 12x + -12x

Combine like terms: 12x + -12x = 0
18 + -8x = 8 + 0
18 + -8x = 8

Add '-18' to each side of the equation.
18 + -18 + -8x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = 8 + -18
-8x = 8 + -18

Combine like terms: 8 + -18 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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