4(x+y)-5=3x-2y-1

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Solution for 4(x+y)-5=3x-2y-1 equation:


Simplifying
4(x + y) + -5 = 3x + -2y + -1
(x * 4 + y * 4) + -5 = 3x + -2y + -1
(4x + 4y) + -5 = 3x + -2y + -1

Reorder the terms:
-5 + 4x + 4y = 3x + -2y + -1

Reorder the terms:
-5 + 4x + 4y = -1 + 3x + -2y

Solving
-5 + 4x + 4y = -1 + 3x + -2y

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.
-5 + 4x + -3x + 4y = -1 + 3x + -3x + -2y

Combine like terms: 4x + -3x = 1x
-5 + 1x + 4y = -1 + 3x + -3x + -2y

Combine like terms: 3x + -3x = 0
-5 + 1x + 4y = -1 + 0 + -2y
-5 + 1x + 4y = -1 + -2y

Add '5' to each side of the equation.
-5 + 1x + 5 + 4y = -1 + 5 + -2y

Reorder the terms:
-5 + 5 + 1x + 4y = -1 + 5 + -2y

Combine like terms: -5 + 5 = 0
0 + 1x + 4y = -1 + 5 + -2y
1x + 4y = -1 + 5 + -2y

Combine like terms: -1 + 5 = 4
1x + 4y = 4 + -2y

Add '-4y' to each side of the equation.
1x + 4y + -4y = 4 + -2y + -4y

Combine like terms: 4y + -4y = 0
1x + 0 = 4 + -2y + -4y
1x = 4 + -2y + -4y

Combine like terms: -2y + -4y = -6y
1x = 4 + -6y

Divide each side by '1'.
x = 4 + -6y

Simplifying
x = 4 + -6y

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