(6.9x-3y+3)-(4.5x-2y-6)=

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Solution for (6.9x-3y+3)-(4.5x-2y-6)= equation:


Simplifying
(6.9x + -3y + 3) + -1(4.5x + -2y + -6) = 0

Reorder the terms:
(3 + 6.9x + -3y) + -1(4.5x + -2y + -6) = 0

Remove parenthesis around (3 + 6.9x + -3y)
3 + 6.9x + -3y + -1(4.5x + -2y + -6) = 0

Reorder the terms:
3 + 6.9x + -3y + -1(-6 + 4.5x + -2y) = 0
3 + 6.9x + -3y + (-6 * -1 + 4.5x * -1 + -2y * -1) = 0
3 + 6.9x + -3y + (6 + -4.5x + 2y) = 0

Reorder the terms:
3 + 6 + 6.9x + -4.5x + -3y + 2y = 0

Combine like terms: 3 + 6 = 9
9 + 6.9x + -4.5x + -3y + 2y = 0

Combine like terms: 6.9x + -4.5x = 2.4x
9 + 2.4x + -3y + 2y = 0

Combine like terms: -3y + 2y = -1y
9 + 2.4x + -1y = 0

Solving
9 + 2.4x + -1y = 0

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 + 2.4x + -9 + -1y = 0 + -9

Reorder the terms:
9 + -9 + 2.4x + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2.4x + -1y = 0 + -9
2.4x + -1y = 0 + -9

Combine like terms: 0 + -9 = -9
2.4x + -1y = -9

Add 'y' to each side of the equation.
2.4x + -1y + y = -9 + y

Combine like terms: -1y + y = 0
2.4x + 0 = -9 + y
2.4x = -9 + y

Divide each side by '2.4'.
x = -3.75 + 0.4166666667y

Simplifying
x = -3.75 + 0.4166666667y

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