3-3(x-4)=-3-2(5-x)

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Solution for 3-3(x-4)=-3-2(5-x) equation: 


Simplifying
3 + -3(x + -4) = -3 + -2(5 + -1x)

Reorder the terms:
3 + -3(-4 + x) = -3 + -2(5 + -1x)
3 + (-4 * -3 + x * -3) = -3 + -2(5 + -1x)
3 + (12 + -3x) = -3 + -2(5 + -1x)

Combine like terms: 3 + 12 = 15
15 + -3x = -3 + -2(5 + -1x)
15 + -3x = -3 + (5 * -2 + -1x * -2)
15 + -3x = -3 + (-10 + 2x)

Combine like terms: -3 + -10 = -13
15 + -3x = -13 + 2x

Solving
15 + -3x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -3x + -2x = -13 + 2x + -2x

Combine like terms: -3x + -2x = -5x
15 + -5x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -5x = -13 + 0
15 + -5x = -13

Add '-15' to each side of the equation.
15 + -15 + -5x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -13 + -15
-5x = -13 + -15

Combine like terms: -13 + -15 = -28
-5x = -28

Divide each side by '-5'.
x = 5.6

Simplifying
x = 5.6

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