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

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


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

Reorder the terms:
4(4 + x) = x + 2(x + 5)
(4 * 4 + x * 4) = x + 2(x + 5)
(16 + 4x) = x + 2(x + 5)

Reorder the terms:
16 + 4x = x + 2(5 + x)
16 + 4x = x + (5 * 2 + x * 2)
16 + 4x = x + (10 + 2x)

Reorder the terms:
16 + 4x = 10 + x + 2x

Combine like terms: x + 2x = 3x
16 + 4x = 10 + 3x

Solving
16 + 4x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + 4x + -3x = 10 + 3x + -3x

Combine like terms: 4x + -3x = 1x
16 + 1x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 1x = 10 + 0
16 + 1x = 10

Add '-16' to each side of the equation.
16 + -16 + 1x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 10 + -16
1x = 10 + -16

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

Divide each side by '1'.
x = -6

Simplifying
x = -6

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