9(x-5)=4(x+10)

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Solution for 9(x-5)=4(x+10) equation:


Simplifying
9(x + -5) = 4(x + 10)

Reorder the terms:
9(-5 + x) = 4(x + 10)
(-5 * 9 + x * 9) = 4(x + 10)
(-45 + 9x) = 4(x + 10)

Reorder the terms:
-45 + 9x = 4(10 + x)
-45 + 9x = (10 * 4 + x * 4)
-45 + 9x = (40 + 4x)

Solving
-45 + 9x = 40 + 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 = 40 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-45 + 5x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-45 + 5x = 40 + 0
-45 + 5x = 40

Add '45' to each side of the equation.
-45 + 45 + 5x = 40 + 45

Combine like terms: -45 + 45 = 0
0 + 5x = 40 + 45
5x = 40 + 45

Combine like terms: 40 + 45 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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