5(x-3y+1)=10-15

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Solution for 5(x-3y+1)=10-15 equation:


Simplifying
5(x + -3y + 1) = 10 + -15

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

Combine like terms: 10 + -15 = -5
5 + 5x + -15y = -5

Solving
5 + 5x + -15y = -5

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + 5x + -5 + -15y = -5 + -5

Reorder the terms:
5 + -5 + 5x + -15y = -5 + -5

Combine like terms: 5 + -5 = 0
0 + 5x + -15y = -5 + -5
5x + -15y = -5 + -5

Combine like terms: -5 + -5 = -10
5x + -15y = -10

Add '15y' to each side of the equation.
5x + -15y + 15y = -10 + 15y

Combine like terms: -15y + 15y = 0
5x + 0 = -10 + 15y
5x = -10 + 15y

Divide each side by '5'.
x = -2 + 3y

Simplifying
x = -2 + 3y

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