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

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


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

Combine like terms: 5 + -2 = 3
3 + 1x = -3(x + -3)

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

Solving
3 + 1x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
3 + 1x + 3x = 9 + -3x + 3x

Combine like terms: 1x + 3x = 4x
3 + 4x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 4x = 9 + 0
3 + 4x = 9

Add '-3' to each side of the equation.
3 + -3 + 4x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 9 + -3
4x = 9 + -3

Combine like terms: 9 + -3 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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