3(x-3)-4(y+7)=10

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Solution for 3(x-3)-4(y+7)=10 equation: 


Simplifying
3(x + -3) + -4(y + 7) = 10

Reorder the terms:
3(-3 + x) + -4(y + 7) = 10
(-3 * 3 + x * 3) + -4(y + 7) = 10
(-9 + 3x) + -4(y + 7) = 10

Reorder the terms:
-9 + 3x + -4(7 + y) = 10
-9 + 3x + (7 * -4 + y * -4) = 10
-9 + 3x + (-28 + -4y) = 10

Reorder the terms:
-9 + -28 + 3x + -4y = 10

Combine like terms: -9 + -28 = -37
-37 + 3x + -4y = 10

Solving
-37 + 3x + -4y = 10

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 3x + 37 + -4y = 10 + 37

Reorder the terms:
-37 + 37 + 3x + -4y = 10 + 37

Combine like terms: -37 + 37 = 0
0 + 3x + -4y = 10 + 37
3x + -4y = 10 + 37

Combine like terms: 10 + 37 = 47
3x + -4y = 47

Add '4y' to each side of the equation.
3x + -4y + 4y = 47 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 47 + 4y
3x = 47 + 4y

Divide each side by '3'.
x = 15.66666667 + 1.333333333y

Simplifying
x = 15.66666667 + 1.333333333y

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