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

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


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

Reorder the terms:
3 + -3(-4 + x) = 3 + -1(x + -3)
3 + (-4 * -3 + x * -3) = 3 + -1(x + -3)
3 + (12 + -3x) = 3 + -1(x + -3)

Combine like terms: 3 + 12 = 15
15 + -3x = 3 + -1(x + -3)

Reorder the terms:
15 + -3x = 3 + -1(-3 + x)
15 + -3x = 3 + (-3 * -1 + x * -1)
15 + -3x = 3 + (3 + -1x)

Combine like terms: 3 + 3 = 6
15 + -3x = 6 + -1x

Solving
15 + -3x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + -3x + x = 6 + -1x + x

Combine like terms: -3x + x = -2x
15 + -2x = 6 + -1x + x

Combine like terms: -1x + x = 0
15 + -2x = 6 + 0
15 + -2x = 6

Add '-15' to each side of the equation.
15 + -15 + -2x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 6 + -15
-2x = 6 + -15

Combine like terms: 6 + -15 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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