7(3x-4)=-4(9-3x)

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Solution for 7(3x-4)=-4(9-3x) equation:


Simplifying
7(3x + -4) = -4(9 + -3x)

Reorder the terms:
7(-4 + 3x) = -4(9 + -3x)
(-4 * 7 + 3x * 7) = -4(9 + -3x)
(-28 + 21x) = -4(9 + -3x)
-28 + 21x = (9 * -4 + -3x * -4)
-28 + 21x = (-36 + 12x)

Solving
-28 + 21x = -36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-28 + 21x + -12x = -36 + 12x + -12x

Combine like terms: 21x + -12x = 9x
-28 + 9x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-28 + 9x = -36 + 0
-28 + 9x = -36

Add '28' to each side of the equation.
-28 + 28 + 9x = -36 + 28

Combine like terms: -28 + 28 = 0
0 + 9x = -36 + 28
9x = -36 + 28

Combine like terms: -36 + 28 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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