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

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


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

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

Reorder the terms:
3 + 5x + -1x = 3(x + -5)

Combine like terms: 5x + -1x = 4x
3 + 4x = 3(x + -5)

Reorder the terms:
3 + 4x = 3(-5 + x)
3 + 4x = (-5 * 3 + x * 3)
3 + 4x = (-15 + 3x)

Solving
3 + 4x = -15 + 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 + 4x + -3x = -15 + 3x + -3x

Combine like terms: 4x + -3x = 1x
3 + 1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + 1x = -15 + 0
3 + 1x = -15

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

Combine like terms: 3 + -3 = 0
0 + 1x = -15 + -3
1x = -15 + -3

Combine like terms: -15 + -3 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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