5x+2(4x+7)-9=2(x+5)

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Solution for 5x+2(4x+7)-9=2(x+5) equation:


Simplifying
5x + 2(4x + 7) + -9 = 2(x + 5)

Reorder the terms:
5x + 2(7 + 4x) + -9 = 2(x + 5)
5x + (7 * 2 + 4x * 2) + -9 = 2(x + 5)
5x + (14 + 8x) + -9 = 2(x + 5)

Reorder the terms:
14 + -9 + 5x + 8x = 2(x + 5)

Combine like terms: 14 + -9 = 5
5 + 5x + 8x = 2(x + 5)

Combine like terms: 5x + 8x = 13x
5 + 13x = 2(x + 5)

Reorder the terms:
5 + 13x = 2(5 + x)
5 + 13x = (5 * 2 + x * 2)
5 + 13x = (10 + 2x)

Solving
5 + 13x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 13x + -2x = 10 + 2x + -2x

Combine like terms: 13x + -2x = 11x
5 + 11x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 11x = 10 + 0
5 + 11x = 10

Add '-5' to each side of the equation.
5 + -5 + 11x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 10 + -5
11x = 10 + -5

Combine like terms: 10 + -5 = 5
11x = 5

Divide each side by '11'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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