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

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


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

Reorder the terms:
6(5 + x) = 5(x + -9)
(5 * 6 + x * 6) = 5(x + -9)
(30 + 6x) = 5(x + -9)

Reorder the terms:
30 + 6x = 5(-9 + x)
30 + 6x = (-9 * 5 + x * 5)
30 + 6x = (-45 + 5x)

Solving
30 + 6x = -45 + 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.
30 + 6x + -5x = -45 + 5x + -5x

Combine like terms: 6x + -5x = 1x
30 + 1x = -45 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 1x = -45 + 0
30 + 1x = -45

Add '-30' to each side of the equation.
30 + -30 + 1x = -45 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = -45 + -30
1x = -45 + -30

Combine like terms: -45 + -30 = -75
1x = -75

Divide each side by '1'.
x = -75

Simplifying
x = -75

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