14x+9=7x-6(x+4)

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Solution for 14x+9=7x-6(x+4) equation:


Simplifying
14x + 9 = 7x + -6(x + 4)

Reorder the terms:
9 + 14x = 7x + -6(x + 4)

Reorder the terms:
9 + 14x = 7x + -6(4 + x)
9 + 14x = 7x + (4 * -6 + x * -6)
9 + 14x = 7x + (-24 + -6x)

Reorder the terms:
9 + 14x = -24 + 7x + -6x

Combine like terms: 7x + -6x = 1x
9 + 14x = -24 + 1x

Solving
9 + 14x = -24 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + 14x + -1x = -24 + 1x + -1x

Combine like terms: 14x + -1x = 13x
9 + 13x = -24 + 1x + -1x

Combine like terms: 1x + -1x = 0
9 + 13x = -24 + 0
9 + 13x = -24

Add '-9' to each side of the equation.
9 + -9 + 13x = -24 + -9

Combine like terms: 9 + -9 = 0
0 + 13x = -24 + -9
13x = -24 + -9

Combine like terms: -24 + -9 = -33
13x = -33

Divide each side by '13'.
x = -2.538461538

Simplifying
x = -2.538461538

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