-9x+12+4(3x+3)=7(X-2)-4x+14

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Solution for -9x+12+4(3x+3)=7(X-2)-4x+14 equation:


Simplifying
-9x + 12 + 4(3x + 3) = 7(X + -2) + -4x + 14

Reorder the terms:
-9x + 12 + 4(3 + 3x) = 7(X + -2) + -4x + 14
-9x + 12 + (3 * 4 + 3x * 4) = 7(X + -2) + -4x + 14
-9x + 12 + (12 + 12x) = 7(X + -2) + -4x + 14

Reorder the terms:
12 + 12 + -9x + 12x = 7(X + -2) + -4x + 14

Combine like terms: 12 + 12 = 24
24 + -9x + 12x = 7(X + -2) + -4x + 14

Combine like terms: -9x + 12x = 3x
24 + 3x = 7(X + -2) + -4x + 14

Reorder the terms:
24 + 3x = 7(-2 + X) + -4x + 14
24 + 3x = (-2 * 7 + X * 7) + -4x + 14
24 + 3x = (-14 + 7X) + -4x + 14

Reorder the terms:
24 + 3x = -14 + 14 + 7X + -4x

Combine like terms: -14 + 14 = 0
24 + 3x = 0 + 7X + -4x
24 + 3x = 7X + -4x

Solving
24 + 3x = 7X + -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.
24 + 3x + 4x = 7X + -4x + 4x

Combine like terms: 3x + 4x = 7x
24 + 7x = 7X + -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 7x = 7X + 0
24 + 7x = 7X

Add '-24' to each side of the equation.
24 + -24 + 7x = -24 + 7X

Combine like terms: 24 + -24 = 0
0 + 7x = -24 + 7X
7x = -24 + 7X

Divide each side by '7'.
x = -3.428571429 + X

Simplifying
x = -3.428571429 + X

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