3+6(x+2)=4x-9

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Solution for 3+6(x+2)=4x-9 equation:


Simplifying
3 + 6(x + 2) = 4x + -9

Reorder the terms:
3 + 6(2 + x) = 4x + -9
3 + (2 * 6 + x * 6) = 4x + -9
3 + (12 + 6x) = 4x + -9

Combine like terms: 3 + 12 = 15
15 + 6x = 4x + -9

Reorder the terms:
15 + 6x = -9 + 4x

Solving
15 + 6x = -9 + 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.
15 + 6x + -4x = -9 + 4x + -4x

Combine like terms: 6x + -4x = 2x
15 + 2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 2x = -9 + 0
15 + 2x = -9

Add '-15' to each side of the equation.
15 + -15 + 2x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -9 + -15
2x = -9 + -15

Combine like terms: -9 + -15 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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