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

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


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

Reorder the terms:
2(-7 + x) + 3y = -5
(-7 * 2 + x * 2) + 3y = -5
(-14 + 2x) + 3y = -5

Solving
-14 + 2x + 3y = -5

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 2x + 14 + 3y = -5 + 14

Reorder the terms:
-14 + 14 + 2x + 3y = -5 + 14

Combine like terms: -14 + 14 = 0
0 + 2x + 3y = -5 + 14
2x + 3y = -5 + 14

Combine like terms: -5 + 14 = 9
2x + 3y = 9

Add '-3y' to each side of the equation.
2x + 3y + -3y = 9 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 9 + -3y
2x = 9 + -3y

Divide each side by '2'.
x = 4.5 + -1.5y

Simplifying
x = 4.5 + -1.5y

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