-6(2x-5)=9(x+1)

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Solution for -6(2x-5)=9(x+1) equation:


Simplifying
-6(2x + -5) = 9(x + 1)

Reorder the terms:
-6(-5 + 2x) = 9(x + 1)
(-5 * -6 + 2x * -6) = 9(x + 1)
(30 + -12x) = 9(x + 1)

Reorder the terms:
30 + -12x = 9(1 + x)
30 + -12x = (1 * 9 + x * 9)
30 + -12x = (9 + 9x)

Solving
30 + -12x = 9 + 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.
30 + -12x + -9x = 9 + 9x + -9x

Combine like terms: -12x + -9x = -21x
30 + -21x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
30 + -21x = 9 + 0
30 + -21x = 9

Add '-30' to each side of the equation.
30 + -30 + -21x = 9 + -30

Combine like terms: 30 + -30 = 0
0 + -21x = 9 + -30
-21x = 9 + -30

Combine like terms: 9 + -30 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1

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