6x-2(x-5)+3(y-4)=

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Solution for 6x-2(x-5)+3(y-4)= equation:


Simplifying
6x + -2(x + -5) + 3(y + -4) = 0

Reorder the terms:
6x + -2(-5 + x) + 3(y + -4) = 0
6x + (-5 * -2 + x * -2) + 3(y + -4) = 0
6x + (10 + -2x) + 3(y + -4) = 0

Reorder the terms:
6x + 10 + -2x + 3(-4 + y) = 0
6x + 10 + -2x + (-4 * 3 + y * 3) = 0
6x + 10 + -2x + (-12 + 3y) = 0

Reorder the terms:
10 + -12 + 6x + -2x + 3y = 0

Combine like terms: 10 + -12 = -2
-2 + 6x + -2x + 3y = 0

Combine like terms: 6x + -2x = 4x
-2 + 4x + 3y = 0

Solving
-2 + 4x + 3y = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 4x + 2 + 3y = 0 + 2

Reorder the terms:
-2 + 2 + 4x + 3y = 0 + 2

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

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

Add '-3y' to each side of the equation.
4x + 3y + -3y = 2 + -3y

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

Divide each side by '4'.
x = 0.5 + -0.75y

Simplifying
x = 0.5 + -0.75y

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