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

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


Simplifying
4x + -1(2y + -3) + -5y = -3

Reorder the terms:
4x + -1(-3 + 2y) + -5y = -3
4x + (-3 * -1 + 2y * -1) + -5y = -3
4x + (3 + -2y) + -5y = -3

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

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

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

Solving for variable 'x'.

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

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

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

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

Combine like terms: -3 + -3 = -6
4x + -7y = -6

Add '7y' to each side of the equation.
4x + -7y + 7y = -6 + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = -6 + 7y
4x = -6 + 7y

Divide each side by '4'.
x = -1.5 + 1.75y

Simplifying
x = -1.5 + 1.75y

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