14(2x+3y)-5(14y+3x-5)=

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Solution for 14(2x+3y)-5(14y+3x-5)= equation:


Simplifying
14(2x + 3y) + -5(14y + 3x + -5) = 0
(2x * 14 + 3y * 14) + -5(14y + 3x + -5) = 0
(28x + 42y) + -5(14y + 3x + -5) = 0

Reorder the terms:
28x + 42y + -5(-5 + 3x + 14y) = 0
28x + 42y + (-5 * -5 + 3x * -5 + 14y * -5) = 0
28x + 42y + (25 + -15x + -70y) = 0

Reorder the terms:
25 + 28x + -15x + 42y + -70y = 0

Combine like terms: 28x + -15x = 13x
25 + 13x + 42y + -70y = 0

Combine like terms: 42y + -70y = -28y
25 + 13x + -28y = 0

Solving
25 + 13x + -28y = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + 13x + -25 + -28y = 0 + -25

Reorder the terms:
25 + -25 + 13x + -28y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 13x + -28y = 0 + -25
13x + -28y = 0 + -25

Combine like terms: 0 + -25 = -25
13x + -28y = -25

Add '28y' to each side of the equation.
13x + -28y + 28y = -25 + 28y

Combine like terms: -28y + 28y = 0
13x + 0 = -25 + 28y
13x = -25 + 28y

Divide each side by '13'.
x = -1.923076923 + 2.153846154y

Simplifying
x = -1.923076923 + 2.153846154y

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