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

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


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

Reorder the terms:
2(-3 + 5x) = 2(x + -3)
(-3 * 2 + 5x * 2) = 2(x + -3)
(-6 + 10x) = 2(x + -3)

Reorder the terms:
-6 + 10x = 2(-3 + x)
-6 + 10x = (-3 * 2 + x * 2)
-6 + 10x = (-6 + 2x)

Add '6' to each side of the equation.
-6 + 6 + 10x = -6 + 6 + 2x

Combine like terms: -6 + 6 = 0
0 + 10x = -6 + 6 + 2x
10x = -6 + 6 + 2x

Combine like terms: -6 + 6 = 0
10x = 0 + 2x
10x = 2x

Solving
10x = 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.
10x + -2x = 2x + -2x

Combine like terms: 10x + -2x = 8x
8x = 2x + -2x

Combine like terms: 2x + -2x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0

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