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

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


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

Reorder the terms:
9(-4 + x) = 10(x + -5)
(-4 * 9 + x * 9) = 10(x + -5)
(-36 + 9x) = 10(x + -5)

Reorder the terms:
-36 + 9x = 10(-5 + x)
-36 + 9x = (-5 * 10 + x * 10)
-36 + 9x = (-50 + 10x)

Solving
-36 + 9x = -50 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-36 + 9x + -10x = -50 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-36 + -1x = -50 + 10x + -10x

Combine like terms: 10x + -10x = 0
-36 + -1x = -50 + 0
-36 + -1x = -50

Add '36' to each side of the equation.
-36 + 36 + -1x = -50 + 36

Combine like terms: -36 + 36 = 0
0 + -1x = -50 + 36
-1x = -50 + 36

Combine like terms: -50 + 36 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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