(x-3)*10=x*5

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Solution for (x-3)*10=x*5 equation:


Simplifying
(x + -3) * 10 = x * 5

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

Reorder the terms for easier multiplication:
10(-3 + x) = x * 5
(-3 * 10 + x * 10) = x * 5
(-30 + 10x) = x * 5

Reorder the terms for easier multiplication:
-30 + 10x = 5x

Solving
-30 + 10x = 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.
-30 + 10x + -5x = 5x + -5x

Combine like terms: 10x + -5x = 5x
-30 + 5x = 5x + -5x

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

Add '30' to each side of the equation.
-30 + 30 + 5x = 0 + 30

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

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

Divide each side by '5'.
x = 6

Simplifying
x = 6

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