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

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


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

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

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

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

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

Solving
3 + -4x + 5y = 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 + -4x + -3 + 5y = 10 + -3

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

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

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

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

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

Divide each side by '-4'.
x = -1.75 + 1.25y

Simplifying
x = -1.75 + 1.25y

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