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

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


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

Reorder the terms:
5x + -3(-3 + x) = -2 + x + 5
5x + (-3 * -3 + x * -3) = -2 + x + 5
5x + (9 + -3x) = -2 + x + 5

Reorder the terms:
9 + 5x + -3x = -2 + x + 5

Combine like terms: 5x + -3x = 2x
9 + 2x = -2 + x + 5

Reorder the terms:
9 + 2x = -2 + 5 + x

Combine like terms: -2 + 5 = 3
9 + 2x = 3 + x

Solving
9 + 2x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + 2x + -1x = 3 + x + -1x

Combine like terms: 2x + -1x = 1x
9 + 1x = 3 + x + -1x

Combine like terms: x + -1x = 0
9 + 1x = 3 + 0
9 + 1x = 3

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

Combine like terms: 9 + -9 = 0
0 + 1x = 3 + -9
1x = 3 + -9

Combine like terms: 3 + -9 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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