5x-3=2(x-3)

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


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

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

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

Solving
-3 + 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.
-3 + 5x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + 3x = -6 + 0
-3 + 3x = -6

Add '3' to each side of the equation.
-3 + 3 + 3x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -6 + 3
3x = -6 + 3

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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