6(x-1)=9(x-4)

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Solution for 6(x-1)=9(x-4) equation:


Simplifying
6(x + -1) = 9(x + -4)

Reorder the terms:
6(-1 + x) = 9(x + -4)
(-1 * 6 + x * 6) = 9(x + -4)
(-6 + 6x) = 9(x + -4)

Reorder the terms:
-6 + 6x = 9(-4 + x)
-6 + 6x = (-4 * 9 + x * 9)
-6 + 6x = (-36 + 9x)

Solving
-6 + 6x = -36 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-6 + 6x + -9x = -36 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-6 + -3x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -3x = -36 + 0
-6 + -3x = -36

Add '6' to each side of the equation.
-6 + 6 + -3x = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -36 + 6
-3x = -36 + 6

Combine like terms: -36 + 6 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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