4(x+2)+2(x+4)=x+5

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Solution for 4(x+2)+2(x+4)=x+5 equation:


Simplifying
4(x + 2) + 2(x + 4) = x + 5

Reorder the terms:
4(2 + x) + 2(x + 4) = x + 5
(2 * 4 + x * 4) + 2(x + 4) = x + 5
(8 + 4x) + 2(x + 4) = x + 5

Reorder the terms:
8 + 4x + 2(4 + x) = x + 5
8 + 4x + (4 * 2 + x * 2) = x + 5
8 + 4x + (8 + 2x) = x + 5

Reorder the terms:
8 + 8 + 4x + 2x = x + 5

Combine like terms: 8 + 8 = 16
16 + 4x + 2x = x + 5

Combine like terms: 4x + 2x = 6x
16 + 6x = x + 5

Reorder the terms:
16 + 6x = 5 + x

Solving
16 + 6x = 5 + 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.
16 + 6x + -1x = 5 + x + -1x

Combine like terms: 6x + -1x = 5x
16 + 5x = 5 + x + -1x

Combine like terms: x + -1x = 0
16 + 5x = 5 + 0
16 + 5x = 5

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

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

Combine like terms: 5 + -16 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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