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

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


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

Reorder the terms:
5(-3 + x) + -5 = x + -3(x + -2)
(-3 * 5 + x * 5) + -5 = x + -3(x + -2)
(-15 + 5x) + -5 = x + -3(x + -2)

Reorder the terms:
-15 + -5 + 5x = x + -3(x + -2)

Combine like terms: -15 + -5 = -20
-20 + 5x = x + -3(x + -2)

Reorder the terms:
-20 + 5x = x + -3(-2 + x)
-20 + 5x = x + (-2 * -3 + x * -3)
-20 + 5x = x + (6 + -3x)

Reorder the terms:
-20 + 5x = 6 + x + -3x

Combine like terms: x + -3x = -2x
-20 + 5x = 6 + -2x

Solving
-20 + 5x = 6 + -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.
-20 + 5x + 2x = 6 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-20 + 7x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 7x = 6 + 0
-20 + 7x = 6

Add '20' to each side of the equation.
-20 + 20 + 7x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 6 + 20
7x = 6 + 20

Combine like terms: 6 + 20 = 26
7x = 26

Divide each side by '7'.
x = 3.714285714

Simplifying
x = 3.714285714

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