6x-5=5(x-3)

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


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

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

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

Solving
-5 + 6x = -15 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-5 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-5 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + 1x = -15 + 0
-5 + 1x = -15

Add '5' to each side of the equation.
-5 + 5 + 1x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -15 + 5
1x = -15 + 5

Combine like terms: -15 + 5 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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