4(2x+6)=5(x+5)+8

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Solution for 4(2x+6)=5(x+5)+8 equation:


Simplifying
4(2x + 6) = 5(x + 5) + 8

Reorder the terms:
4(6 + 2x) = 5(x + 5) + 8
(6 * 4 + 2x * 4) = 5(x + 5) + 8
(24 + 8x) = 5(x + 5) + 8

Reorder the terms:
24 + 8x = 5(5 + x) + 8
24 + 8x = (5 * 5 + x * 5) + 8
24 + 8x = (25 + 5x) + 8

Reorder the terms:
24 + 8x = 25 + 8 + 5x

Combine like terms: 25 + 8 = 33
24 + 8x = 33 + 5x

Solving
24 + 8x = 33 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 8x + -5x = 33 + 5x + -5x

Combine like terms: 8x + -5x = 3x
24 + 3x = 33 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + 3x = 33 + 0
24 + 3x = 33

Add '-24' to each side of the equation.
24 + -24 + 3x = 33 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 33 + -24
3x = 33 + -24

Combine like terms: 33 + -24 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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