7(x-2)+5y=10

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Solution for 7(x-2)+5y=10 equation:


Simplifying
7(x + -2) + 5y = 10

Reorder the terms:
7(-2 + x) + 5y = 10
(-2 * 7 + x * 7) + 5y = 10
(-14 + 7x) + 5y = 10

Solving
-14 + 7x + 5y = 10

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 7x + 14 + 5y = 10 + 14

Reorder the terms:
-14 + 14 + 7x + 5y = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 7x + 5y = 10 + 14
7x + 5y = 10 + 14

Combine like terms: 10 + 14 = 24
7x + 5y = 24

Add '-5y' to each side of the equation.
7x + 5y + -5y = 24 + -5y

Combine like terms: 5y + -5y = 0
7x + 0 = 24 + -5y
7x = 24 + -5y

Divide each side by '7'.
x = 3.428571429 + -0.7142857143y

Simplifying
x = 3.428571429 + -0.7142857143y

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