(5x+6)-(3+4y)=10

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Solution for (5x+6)-(3+4y)=10 equation:


Simplifying
(5x + 6) + -1(3 + 4y) = 10

Reorder the terms:
(6 + 5x) + -1(3 + 4y) = 10

Remove parenthesis around (6 + 5x)
6 + 5x + -1(3 + 4y) = 10
6 + 5x + (3 * -1 + 4y * -1) = 10
6 + 5x + (-3 + -4y) = 10

Reorder the terms:
6 + -3 + 5x + -4y = 10

Combine like terms: 6 + -3 = 3
3 + 5x + -4y = 10

Solving
3 + 5x + -4y = 10

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + 5x + -3 + -4y = 10 + -3

Reorder the terms:
3 + -3 + 5x + -4y = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 5x + -4y = 10 + -3
5x + -4y = 10 + -3

Combine like terms: 10 + -3 = 7
5x + -4y = 7

Add '4y' to each side of the equation.
5x + -4y + 4y = 7 + 4y

Combine like terms: -4y + 4y = 0
5x + 0 = 7 + 4y
5x = 7 + 4y

Divide each side by '5'.
x = 1.4 + 0.8y

Simplifying
x = 1.4 + 0.8y

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