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

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


Simplifying
3(x + 1) + 4(y + -3) = 4

Reorder the terms:
3(1 + x) + 4(y + -3) = 4
(1 * 3 + x * 3) + 4(y + -3) = 4
(3 + 3x) + 4(y + -3) = 4

Reorder the terms:
3 + 3x + 4(-3 + y) = 4
3 + 3x + (-3 * 4 + y * 4) = 4
3 + 3x + (-12 + 4y) = 4

Reorder the terms:
3 + -12 + 3x + 4y = 4

Combine like terms: 3 + -12 = -9
-9 + 3x + 4y = 4

Solving
-9 + 3x + 4y = 4

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 3x + 9 + 4y = 4 + 9

Reorder the terms:
-9 + 9 + 3x + 4y = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 3x + 4y = 4 + 9
3x + 4y = 4 + 9

Combine like terms: 4 + 9 = 13
3x + 4y = 13

Add '-4y' to each side of the equation.
3x + 4y + -4y = 13 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 13 + -4y
3x = 13 + -4y

Divide each side by '3'.
x = 4.333333333 + -1.333333333y

Simplifying
x = 4.333333333 + -1.333333333y

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