3x+4y-7=-2x+2y-5

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Solution for 3x+4y-7=-2x+2y-5 equation:


Simplifying
3x + 4y + -7 = -2x + 2y + -5

Reorder the terms:
-7 + 3x + 4y = -2x + 2y + -5

Reorder the terms:
-7 + 3x + 4y = -5 + -2x + 2y

Solving
-7 + 3x + 4y = -5 + -2x + 2y

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + 3x + 2x + 4y = -5 + -2x + 2x + 2y

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

Combine like terms: -2x + 2x = 0
-7 + 5x + 4y = -5 + 0 + 2y
-7 + 5x + 4y = -5 + 2y

Add '7' to each side of the equation.
-7 + 5x + 7 + 4y = -5 + 7 + 2y

Reorder the terms:
-7 + 7 + 5x + 4y = -5 + 7 + 2y

Combine like terms: -7 + 7 = 0
0 + 5x + 4y = -5 + 7 + 2y
5x + 4y = -5 + 7 + 2y

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

Add '-4y' to each side of the equation.
5x + 4y + -4y = 2 + 2y + -4y

Combine like terms: 4y + -4y = 0
5x + 0 = 2 + 2y + -4y
5x = 2 + 2y + -4y

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

Divide each side by '5'.
x = 0.4 + -0.4y

Simplifying
x = 0.4 + -0.4y

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