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

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


Simplifying
3 + -3(x + 3) = x + -4(3 + -1x)

Reorder the terms:
3 + -3(3 + x) = x + -4(3 + -1x)
3 + (3 * -3 + x * -3) = x + -4(3 + -1x)
3 + (-9 + -3x) = x + -4(3 + -1x)

Combine like terms: 3 + -9 = -6
-6 + -3x = x + -4(3 + -1x)
-6 + -3x = x + (3 * -4 + -1x * -4)
-6 + -3x = x + (-12 + 4x)

Reorder the terms:
-6 + -3x = -12 + x + 4x

Combine like terms: x + 4x = 5x
-6 + -3x = -12 + 5x

Solving
-6 + -3x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + -3x + -5x = -12 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-6 + -8x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -8x = -12 + 0
-6 + -8x = -12

Add '6' to each side of the equation.
-6 + 6 + -8x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = -12 + 6
-8x = -12 + 6

Combine like terms: -12 + 6 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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