5(x+y)-7=3x+4

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Solution for 5(x+y)-7=3x+4 equation:


Simplifying
5(x + y) + -7 = 3x + 4
(x * 5 + y * 5) + -7 = 3x + 4
(5x + 5y) + -7 = 3x + 4

Reorder the terms:
-7 + 5x + 5y = 3x + 4

Reorder the terms:
-7 + 5x + 5y = 4 + 3x

Solving
-7 + 5x + 5y = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 5x + -3x + 5y = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-7 + 2x + 5y = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 2x + 5y = 4 + 0
-7 + 2x + 5y = 4

Add '7' to each side of the equation.
-7 + 2x + 7 + 5y = 4 + 7

Reorder the terms:
-7 + 7 + 2x + 5y = 4 + 7

Combine like terms: -7 + 7 = 0
0 + 2x + 5y = 4 + 7
2x + 5y = 4 + 7

Combine like terms: 4 + 7 = 11
2x + 5y = 11

Add '-5y' to each side of the equation.
2x + 5y + -5y = 11 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 11 + -5y
2x = 11 + -5y

Divide each side by '2'.
x = 5.5 + -2.5y

Simplifying
x = 5.5 + -2.5y

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