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

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


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

Reorder the terms:
3(-5 + 2x) = 3x + -2(x + -5)
(-5 * 3 + 2x * 3) = 3x + -2(x + -5)
(-15 + 6x) = 3x + -2(x + -5)

Reorder the terms:
-15 + 6x = 3x + -2(-5 + x)
-15 + 6x = 3x + (-5 * -2 + x * -2)
-15 + 6x = 3x + (10 + -2x)

Reorder the terms:
-15 + 6x = 10 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 6x = 10 + 1x

Solving
-15 + 6x = 10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-15 + 6x + -1x = 10 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-15 + 5x = 10 + 1x + -1x

Combine like terms: 1x + -1x = 0
-15 + 5x = 10 + 0
-15 + 5x = 10

Add '15' to each side of the equation.
-15 + 15 + 5x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 10 + 15
5x = 10 + 15

Combine like terms: 10 + 15 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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