3x-2(5y-6)=8

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Solution for 3x-2(5y-6)=8 equation:


Simplifying
3x + -2(5y + -6) = 8

Reorder the terms:
3x + -2(-6 + 5y) = 8
3x + (-6 * -2 + 5y * -2) = 8
3x + (12 + -10y) = 8

Reorder the terms:
12 + 3x + -10y = 8

Solving
12 + 3x + -10y = 8

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 3x + -12 + -10y = 8 + -12

Reorder the terms:
12 + -12 + 3x + -10y = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 3x + -10y = 8 + -12
3x + -10y = 8 + -12

Combine like terms: 8 + -12 = -4
3x + -10y = -4

Add '10y' to each side of the equation.
3x + -10y + 10y = -4 + 10y

Combine like terms: -10y + 10y = 0
3x + 0 = -4 + 10y
3x = -4 + 10y

Divide each side by '3'.
x = -1.333333333 + 3.333333333y

Simplifying
x = -1.333333333 + 3.333333333y

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