9(x+5)=4(x+20)

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Solution for 9(x+5)=4(x+20) equation:


Simplifying
9(x + 5) = 4(x + 20)

Reorder the terms:
9(5 + x) = 4(x + 20)
(5 * 9 + x * 9) = 4(x + 20)
(45 + 9x) = 4(x + 20)

Reorder the terms:
45 + 9x = 4(20 + x)
45 + 9x = (20 * 4 + x * 4)
45 + 9x = (80 + 4x)

Solving
45 + 9x = 80 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
45 + 9x + -4x = 80 + 4x + -4x

Combine like terms: 9x + -4x = 5x
45 + 5x = 80 + 4x + -4x

Combine like terms: 4x + -4x = 0
45 + 5x = 80 + 0
45 + 5x = 80

Add '-45' to each side of the equation.
45 + -45 + 5x = 80 + -45

Combine like terms: 45 + -45 = 0
0 + 5x = 80 + -45
5x = 80 + -45

Combine like terms: 80 + -45 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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