4(x+4)=2(x+8)+10

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Solution for 4(x+4)=2(x+8)+10 equation: 


Simplifying
4(x + 4) = 2(x + 8) + 10

Reorder the terms:
4(4 + x) = 2(x + 8) + 10
(4 * 4 + x * 4) = 2(x + 8) + 10
(16 + 4x) = 2(x + 8) + 10

Reorder the terms:
16 + 4x = 2(8 + x) + 10
16 + 4x = (8 * 2 + x * 2) + 10
16 + 4x = (16 + 2x) + 10

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

Combine like terms: 16 + 10 = 26
16 + 4x = 26 + 2x

Solving
16 + 4x = 26 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 4x + -2x = 26 + 2x + -2x

Combine like terms: 4x + -2x = 2x
16 + 2x = 26 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 2x = 26 + 0
16 + 2x = 26

Add '-16' to each side of the equation.
16 + -16 + 2x = 26 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 26 + -16
2x = 26 + -16

Combine like terms: 26 + -16 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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