5(x-3)-3=3(x-2)-6

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Solution for 5(x-3)-3=3(x-2)-6 equation:


Simplifying
5(x + -3) + -3 = 3(x + -2) + -6

Reorder the terms:
5(-3 + x) + -3 = 3(x + -2) + -6
(-3 * 5 + x * 5) + -3 = 3(x + -2) + -6
(-15 + 5x) + -3 = 3(x + -2) + -6

Reorder the terms:
-15 + -3 + 5x = 3(x + -2) + -6

Combine like terms: -15 + -3 = -18
-18 + 5x = 3(x + -2) + -6

Reorder the terms:
-18 + 5x = 3(-2 + x) + -6
-18 + 5x = (-2 * 3 + x * 3) + -6
-18 + 5x = (-6 + 3x) + -6

Reorder the terms:
-18 + 5x = -6 + -6 + 3x

Combine like terms: -6 + -6 = -12
-18 + 5x = -12 + 3x

Solving
-18 + 5x = -12 + 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.
-18 + 5x + -3x = -12 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-18 + 2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 2x = -12 + 0
-18 + 2x = -12

Add '18' to each side of the equation.
-18 + 18 + 2x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -12 + 18
2x = -12 + 18

Combine like terms: -12 + 18 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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