5(3x-4y)-2(8x-9y)+7=

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Solution for 5(3x-4y)-2(8x-9y)+7= equation: 


Simplifying
5(3x + -4y) + -2(8x + -9y) + 7 = 0
(3x * 5 + -4y * 5) + -2(8x + -9y) + 7 = 0
(15x + -20y) + -2(8x + -9y) + 7 = 0
15x + -20y + (8x * -2 + -9y * -2) + 7 = 0
15x + -20y + (-16x + 18y) + 7 = 0

Reorder the terms:
7 + 15x + -16x + -20y + 18y = 0

Combine like terms: 15x + -16x = -1x
7 + -1x + -20y + 18y = 0

Combine like terms: -20y + 18y = -2y
7 + -1x + -2y = 0

Solving
7 + -1x + -2y = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -1x + -7 + -2y = 0 + -7

Reorder the terms:
7 + -7 + -1x + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x + -2y = 0 + -7
-1x + -2y = 0 + -7

Combine like terms: 0 + -7 = -7
-1x + -2y = -7

Add '2y' to each side of the equation.
-1x + -2y + 2y = -7 + 2y

Combine like terms: -2y + 2y = 0
-1x + 0 = -7 + 2y
-1x = -7 + 2y

Divide each side by '-1'.
x = 7 + -2y

Simplifying
x = 7 + -2y

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