3(4x-3)+5=2y-10

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Solution for 3(4x-3)+5=2y-10 equation:


Simplifying
3(4x + -3) + 5 = 2y + -10

Reorder the terms:
3(-3 + 4x) + 5 = 2y + -10
(-3 * 3 + 4x * 3) + 5 = 2y + -10
(-9 + 12x) + 5 = 2y + -10

Reorder the terms:
-9 + 5 + 12x = 2y + -10

Combine like terms: -9 + 5 = -4
-4 + 12x = 2y + -10

Reorder the terms:
-4 + 12x = -10 + 2y

Solving
-4 + 12x = -10 + 2y

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 12x = -10 + 4 + 2y

Combine like terms: -4 + 4 = 0
0 + 12x = -10 + 4 + 2y
12x = -10 + 4 + 2y

Combine like terms: -10 + 4 = -6
12x = -6 + 2y

Divide each side by '12'.
x = -0.5 + 0.1666666667y

Simplifying
x = -0.5 + 0.1666666667y

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