-4(y-3)+3(x-1)=8

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Solution for -4(y-3)+3(x-1)=8 equation:


Simplifying
-4(y + -3) + 3(x + -1) = 8

Reorder the terms:
-4(-3 + y) + 3(x + -1) = 8
(-3 * -4 + y * -4) + 3(x + -1) = 8
(12 + -4y) + 3(x + -1) = 8

Reorder the terms:
12 + -4y + 3(-1 + x) = 8
12 + -4y + (-1 * 3 + x * 3) = 8
12 + -4y + (-3 + 3x) = 8

Reorder the terms:
12 + -3 + 3x + -4y = 8

Combine like terms: 12 + -3 = 9
9 + 3x + -4y = 8

Solving
9 + 3x + -4y = 8

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 = 8 + -9

Reorder the terms:
9 + -9 + 3x + -4y = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 3x + -4y = 8 + -9
3x + -4y = 8 + -9

Combine like terms: 8 + -9 = -1
3x + -4y = -1

Add '4y' to each side of the equation.
3x + -4y + 4y = -1 + 4y

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

Divide each side by '3'.
x = -0.3333333333 + 1.333333333y

Simplifying
x = -0.3333333333 + 1.333333333y

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