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

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


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

Reorder the terms:
6(-5 + x) = 3(x + -5)
(-5 * 6 + x * 6) = 3(x + -5)
(-30 + 6x) = 3(x + -5)

Reorder the terms:
-30 + 6x = 3(-5 + x)
-30 + 6x = (-5 * 3 + x * 3)
-30 + 6x = (-15 + 3x)

Solving
-30 + 6x = -15 + 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.
-30 + 6x + -3x = -15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-30 + 3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 3x = -15 + 0
-30 + 3x = -15

Add '30' to each side of the equation.
-30 + 30 + 3x = -15 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = -15 + 30
3x = -15 + 30

Combine like terms: -15 + 30 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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