2x-3y+7=-3x+4y-4

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Solution for 2x-3y+7=-3x+4y-4 equation:


Simplifying
2x + -3y + 7 = -3x + 4y + -4

Reorder the terms:
7 + 2x + -3y = -3x + 4y + -4

Reorder the terms:
7 + 2x + -3y = -4 + -3x + 4y

Solving
7 + 2x + -3y = -4 + -3x + 4y

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 2x + 3x + -3y = -4 + -3x + 3x + 4y

Combine like terms: 2x + 3x = 5x
7 + 5x + -3y = -4 + -3x + 3x + 4y

Combine like terms: -3x + 3x = 0
7 + 5x + -3y = -4 + 0 + 4y
7 + 5x + -3y = -4 + 4y

Add '-7' to each side of the equation.
7 + 5x + -7 + -3y = -4 + -7 + 4y

Reorder the terms:
7 + -7 + 5x + -3y = -4 + -7 + 4y

Combine like terms: 7 + -7 = 0
0 + 5x + -3y = -4 + -7 + 4y
5x + -3y = -4 + -7 + 4y

Combine like terms: -4 + -7 = -11
5x + -3y = -11 + 4y

Add '3y' to each side of the equation.
5x + -3y + 3y = -11 + 4y + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = -11 + 4y + 3y
5x = -11 + 4y + 3y

Combine like terms: 4y + 3y = 7y
5x = -11 + 7y

Divide each side by '5'.
x = -2.2 + 1.4y

Simplifying
x = -2.2 + 1.4y

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