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

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


Simplifying
3((x * 2) + -1(5 * 2)) = x + -5

Reorder the terms for easier multiplication:
3((2x) + -1(5 * 2)) = x + -5

Multiply 5 * 2
3((2x) + -1(10)) = x + -5

Multiply -1 * 10
3((2x) + -10) = x + -5

Reorder the terms:
3(-10 + (2x)) = x + -5
(-10 * 3 + (2x) * 3) = x + -5
(-30 + 6x) = x + -5

Reorder the terms:
-30 + 6x = -5 + x

Solving
-30 + 6x = -5 + x

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.
-30 + 6x + -1x = -5 + x + -1x

Combine like terms: 6x + -1x = 5x
-30 + 5x = -5 + x + -1x

Combine like terms: x + -1x = 0
-30 + 5x = -5 + 0
-30 + 5x = -5

Add '30' to each side of the equation.
-30 + 30 + 5x = -5 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = -5 + 30
5x = -5 + 30

Combine like terms: -5 + 30 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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