3x+5=10(y-3)

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


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

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

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

Solving
5 + 3x = -30 + 10y

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 3x = -30 + -5 + 10y

Combine like terms: 5 + -5 = 0
0 + 3x = -30 + -5 + 10y
3x = -30 + -5 + 10y

Combine like terms: -30 + -5 = -35
3x = -35 + 10y

Divide each side by '3'.
x = -11.66666667 + 3.333333333y

Simplifying
x = -11.66666667 + 3.333333333y

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