14-3(x+3)=6(x+4)-4

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Solution for 14-3(x+3)=6(x+4)-4 equation: 


Simplifying
14 + -3(x + 3) = 6(x + 4) + -4

Reorder the terms:
14 + -3(3 + x) = 6(x + 4) + -4
14 + (3 * -3 + x * -3) = 6(x + 4) + -4
14 + (-9 + -3x) = 6(x + 4) + -4

Combine like terms: 14 + -9 = 5
5 + -3x = 6(x + 4) + -4

Reorder the terms:
5 + -3x = 6(4 + x) + -4
5 + -3x = (4 * 6 + x * 6) + -4
5 + -3x = (24 + 6x) + -4

Reorder the terms:
5 + -3x = 24 + -4 + 6x

Combine like terms: 24 + -4 = 20
5 + -3x = 20 + 6x

Solving
5 + -3x = 20 + 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.
5 + -3x + -6x = 20 + 6x + -6x

Combine like terms: -3x + -6x = -9x
5 + -9x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -9x = 20 + 0
5 + -9x = 20

Add '-5' to each side of the equation.
5 + -5 + -9x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 20 + -5
-9x = 20 + -5

Combine like terms: 20 + -5 = 15
-9x = 15

Divide each side by '-9'.
x = -1.666666667

Simplifying
x = -1.666666667

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