-2(4x-5)+6(2y-7)=6

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Solution for -2(4x-5)+6(2y-7)=6 equation:


Simplifying
-2(4x + -5) + 6(2y + -7) = 6

Reorder the terms:
-2(-5 + 4x) + 6(2y + -7) = 6
(-5 * -2 + 4x * -2) + 6(2y + -7) = 6
(10 + -8x) + 6(2y + -7) = 6

Reorder the terms:
10 + -8x + 6(-7 + 2y) = 6
10 + -8x + (-7 * 6 + 2y * 6) = 6
10 + -8x + (-42 + 12y) = 6

Reorder the terms:
10 + -42 + -8x + 12y = 6

Combine like terms: 10 + -42 = -32
-32 + -8x + 12y = 6

Solving
-32 + -8x + 12y = 6

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + -8x + 32 + 12y = 6 + 32

Reorder the terms:
-32 + 32 + -8x + 12y = 6 + 32

Combine like terms: -32 + 32 = 0
0 + -8x + 12y = 6 + 32
-8x + 12y = 6 + 32

Combine like terms: 6 + 32 = 38
-8x + 12y = 38

Add '-12y' to each side of the equation.
-8x + 12y + -12y = 38 + -12y

Combine like terms: 12y + -12y = 0
-8x + 0 = 38 + -12y
-8x = 38 + -12y

Divide each side by '-8'.
x = -4.75 + 1.5y

Simplifying
x = -4.75 + 1.5y

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