-6(x+2)+4x+6=6x+9

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Solution for -6(x+2)+4x+6=6x+9 equation:


Simplifying
-6(x + 2) + 4x + 6 = 6x + 9

Reorder the terms:
-6(2 + x) + 4x + 6 = 6x + 9
(2 * -6 + x * -6) + 4x + 6 = 6x + 9
(-12 + -6x) + 4x + 6 = 6x + 9

Reorder the terms:
-12 + 6 + -6x + 4x = 6x + 9

Combine like terms: -12 + 6 = -6
-6 + -6x + 4x = 6x + 9

Combine like terms: -6x + 4x = -2x
-6 + -2x = 6x + 9

Reorder the terms:
-6 + -2x = 9 + 6x

Solving
-6 + -2x = 9 + 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.
-6 + -2x + -6x = 9 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-6 + -8x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -8x = 9 + 0
-6 + -8x = 9

Add '6' to each side of the equation.
-6 + 6 + -8x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 9 + 6
-8x = 9 + 6

Combine like terms: 9 + 6 = 15
-8x = 15

Divide each side by '-8'.
x = -1.875

Simplifying
x = -1.875

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