6(5x+7)=7(4y-10)

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Solution for 6(5x+7)=7(4y-10) equation:


Simplifying
6(5x + 7) = 7(4y + -10)

Reorder the terms:
6(7 + 5x) = 7(4y + -10)
(7 * 6 + 5x * 6) = 7(4y + -10)
(42 + 30x) = 7(4y + -10)

Reorder the terms:
42 + 30x = 7(-10 + 4y)
42 + 30x = (-10 * 7 + 4y * 7)
42 + 30x = (-70 + 28y)

Solving
42 + 30x = -70 + 28y

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 30x = -70 + -42 + 28y

Combine like terms: 42 + -42 = 0
0 + 30x = -70 + -42 + 28y
30x = -70 + -42 + 28y

Combine like terms: -70 + -42 = -112
30x = -112 + 28y

Divide each side by '30'.
x = -3.733333333 + 0.9333333333y

Simplifying
x = -3.733333333 + 0.9333333333y

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