2(x+7)-9=5(x-3)

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


Simplifying
2(x + 7) + -9 = 5(x + -3)

Reorder the terms:
2(7 + x) + -9 = 5(x + -3)
(7 * 2 + x * 2) + -9 = 5(x + -3)
(14 + 2x) + -9 = 5(x + -3)

Reorder the terms:
14 + -9 + 2x = 5(x + -3)

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

Reorder the terms:
5 + 2x = 5(-3 + x)
5 + 2x = (-3 * 5 + x * 5)
5 + 2x = (-15 + 5x)

Solving
5 + 2x = -15 + 5x

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.
5 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
5 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -3x = -15 + 0
5 + -3x = -15

Add '-5' to each side of the equation.
5 + -5 + -3x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -15 + -5
-3x = -15 + -5

Combine like terms: -15 + -5 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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