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

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Solution for 6(x-9)=4(x+5) equation:


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

Reorder the terms:
6(-9 + x) = 4(x + 5)
(-9 * 6 + x * 6) = 4(x + 5)
(-54 + 6x) = 4(x + 5)

Reorder the terms:
-54 + 6x = 4(5 + x)
-54 + 6x = (5 * 4 + x * 4)
-54 + 6x = (20 + 4x)

Solving
-54 + 6x = 20 + 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.
-54 + 6x + -4x = 20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-54 + 2x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-54 + 2x = 20 + 0
-54 + 2x = 20

Add '54' to each side of the equation.
-54 + 54 + 2x = 20 + 54

Combine like terms: -54 + 54 = 0
0 + 2x = 20 + 54
2x = 20 + 54

Combine like terms: 20 + 54 = 74
2x = 74

Divide each side by '2'.
x = 37

Simplifying
x = 37

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