(5x+8y)-(10x-2y+7)=

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Solution for (5x+8y)-(10x-2y+7)= equation:


Simplifying
(5x + 8y) + -1(10x + -2y + 7) = 0

Remove parenthesis around (5x + 8y)
5x + 8y + -1(10x + -2y + 7) = 0

Reorder the terms:
5x + 8y + -1(7 + 10x + -2y) = 0
5x + 8y + (7 * -1 + 10x * -1 + -2y * -1) = 0
5x + 8y + (-7 + -10x + 2y) = 0

Reorder the terms:
-7 + 5x + -10x + 8y + 2y = 0

Combine like terms: 5x + -10x = -5x
-7 + -5x + 8y + 2y = 0

Combine like terms: 8y + 2y = 10y
-7 + -5x + 10y = 0

Solving
-7 + -5x + 10y = 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 + -5x + 7 + 10y = 0 + 7

Reorder the terms:
-7 + 7 + -5x + 10y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x + 10y = 0 + 7
-5x + 10y = 0 + 7

Combine like terms: 0 + 7 = 7
-5x + 10y = 7

Add '-10y' to each side of the equation.
-5x + 10y + -10y = 7 + -10y

Combine like terms: 10y + -10y = 0
-5x + 0 = 7 + -10y
-5x = 7 + -10y

Divide each side by '-5'.
x = -1.4 + 2y

Simplifying
x = -1.4 + 2y

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