5(2x+8)=8x+9

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Solution for 5(2x+8)=8x+9 equation:


Simplifying
5(2x + 8) = 8x + 9

Reorder the terms:
5(8 + 2x) = 8x + 9
(8 * 5 + 2x * 5) = 8x + 9
(40 + 10x) = 8x + 9

Reorder the terms:
40 + 10x = 9 + 8x

Solving
40 + 10x = 9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
40 + 10x + -8x = 9 + 8x + -8x

Combine like terms: 10x + -8x = 2x
40 + 2x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
40 + 2x = 9 + 0
40 + 2x = 9

Add '-40' to each side of the equation.
40 + -40 + 2x = 9 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 9 + -40
2x = 9 + -40

Combine like terms: 9 + -40 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5

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