3(x+7)=2y-5x+1

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Solution for 3(x+7)=2y-5x+1 equation:


Simplifying
3(x + 7) = 2y + -5x + 1

Reorder the terms:
3(7 + x) = 2y + -5x + 1
(7 * 3 + x * 3) = 2y + -5x + 1
(21 + 3x) = 2y + -5x + 1

Reorder the terms:
21 + 3x = 1 + -5x + 2y

Solving
21 + 3x = 1 + -5x + 2y

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
21 + 3x + 5x = 1 + -5x + 5x + 2y

Combine like terms: 3x + 5x = 8x
21 + 8x = 1 + -5x + 5x + 2y

Combine like terms: -5x + 5x = 0
21 + 8x = 1 + 0 + 2y
21 + 8x = 1 + 2y

Add '-21' to each side of the equation.
21 + -21 + 8x = 1 + -21 + 2y

Combine like terms: 21 + -21 = 0
0 + 8x = 1 + -21 + 2y
8x = 1 + -21 + 2y

Combine like terms: 1 + -21 = -20
8x = -20 + 2y

Divide each side by '8'.
x = -2.5 + 0.25y

Simplifying
x = -2.5 + 0.25y

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