9(x-6)=5(x-10)

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Solution for 9(x-6)=5(x-10) equation:


Simplifying
9(x + -6) = 5(x + -10)

Reorder the terms:
9(-6 + x) = 5(x + -10)
(-6 * 9 + x * 9) = 5(x + -10)
(-54 + 9x) = 5(x + -10)

Reorder the terms:
-54 + 9x = 5(-10 + x)
-54 + 9x = (-10 * 5 + x * 5)
-54 + 9x = (-50 + 5x)

Solving
-54 + 9x = -50 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-54 + 9x + -5x = -50 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-54 + 4x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
-54 + 4x = -50 + 0
-54 + 4x = -50

Add '54' to each side of the equation.
-54 + 54 + 4x = -50 + 54

Combine like terms: -54 + 54 = 0
0 + 4x = -50 + 54
4x = -50 + 54

Combine like terms: -50 + 54 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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