3-3(x+4)=-3(4x-5)

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Solution for 3-3(x+4)=-3(4x-5) equation:


Simplifying
3 + -3(x + 4) = -3(4x + -5)

Reorder the terms:
3 + -3(4 + x) = -3(4x + -5)
3 + (4 * -3 + x * -3) = -3(4x + -5)
3 + (-12 + -3x) = -3(4x + -5)

Combine like terms: 3 + -12 = -9
-9 + -3x = -3(4x + -5)

Reorder the terms:
-9 + -3x = -3(-5 + 4x)
-9 + -3x = (-5 * -3 + 4x * -3)
-9 + -3x = (15 + -12x)

Solving
-9 + -3x = 15 + -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.
-9 + -3x + 12x = 15 + -12x + 12x

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

Combine like terms: -12x + 12x = 0
-9 + 9x = 15 + 0
-9 + 9x = 15

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

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

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

Divide each side by '9'.
x = 2.666666667

Simplifying
x = 2.666666667

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