5(x+9)=3(x+8)

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Solution for 5(x+9)=3(x+8) equation:


Simplifying
5(x + 9) = 3(x + 8)

Reorder the terms:
5(9 + x) = 3(x + 8)
(9 * 5 + x * 5) = 3(x + 8)
(45 + 5x) = 3(x + 8)

Reorder the terms:
45 + 5x = 3(8 + x)
45 + 5x = (8 * 3 + x * 3)
45 + 5x = (24 + 3x)

Solving
45 + 5x = 24 + 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.
45 + 5x + -3x = 24 + 3x + -3x

Combine like terms: 5x + -3x = 2x
45 + 2x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
45 + 2x = 24 + 0
45 + 2x = 24

Add '-45' to each side of the equation.
45 + -45 + 2x = 24 + -45

Combine like terms: 45 + -45 = 0
0 + 2x = 24 + -45
2x = 24 + -45

Combine like terms: 24 + -45 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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