5(3x-2)-(4y+3)=-59

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Solution for 5(3x-2)-(4y+3)=-59 equation:


Simplifying
5(3x + -2) + -1(4y + 3) = -59

Reorder the terms:
5(-2 + 3x) + -1(4y + 3) = -59
(-2 * 5 + 3x * 5) + -1(4y + 3) = -59
(-10 + 15x) + -1(4y + 3) = -59

Reorder the terms:
-10 + 15x + -1(3 + 4y) = -59
-10 + 15x + (3 * -1 + 4y * -1) = -59
-10 + 15x + (-3 + -4y) = -59

Reorder the terms:
-10 + -3 + 15x + -4y = -59

Combine like terms: -10 + -3 = -13
-13 + 15x + -4y = -59

Solving
-13 + 15x + -4y = -59

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 15x + 13 + -4y = -59 + 13

Reorder the terms:
-13 + 13 + 15x + -4y = -59 + 13

Combine like terms: -13 + 13 = 0
0 + 15x + -4y = -59 + 13
15x + -4y = -59 + 13

Combine like terms: -59 + 13 = -46
15x + -4y = -46

Add '4y' to each side of the equation.
15x + -4y + 4y = -46 + 4y

Combine like terms: -4y + 4y = 0
15x + 0 = -46 + 4y
15x = -46 + 4y

Divide each side by '15'.
x = -3.066666667 + 0.2666666667y

Simplifying
x = -3.066666667 + 0.2666666667y

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