-4(x-9)=6x+16

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Solution for -4(x-9)=6x+16 equation:


Simplifying
-4(x + -9) = 6x + 16

Reorder the terms:
-4(-9 + x) = 6x + 16
(-9 * -4 + x * -4) = 6x + 16
(36 + -4x) = 6x + 16

Reorder the terms:
36 + -4x = 16 + 6x

Solving
36 + -4x = 16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
36 + -4x + -6x = 16 + 6x + -6x

Combine like terms: -4x + -6x = -10x
36 + -10x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
36 + -10x = 16 + 0
36 + -10x = 16

Add '-36' to each side of the equation.
36 + -36 + -10x = 16 + -36

Combine like terms: 36 + -36 = 0
0 + -10x = 16 + -36
-10x = 16 + -36

Combine like terms: 16 + -36 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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