3x-5=2(x-3)

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


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

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

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

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

Combine like terms: 3x + -2x = 1x
-5 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 1x = -6 + 0
-5 + 1x = -6

Add '5' to each side of the equation.
-5 + 5 + 1x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -6 + 5
1x = -6 + 5

Combine like terms: -6 + 5 = -1
1x = -1

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

Simplifying
x = -1

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