2(x+1)+5(2x+3)=2(5x+9)

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Solution for 2(x+1)+5(2x+3)=2(5x+9) equation:


Simplifying
2(x + 1) + 5(2x + 3) = 2(5x + 9)

Reorder the terms:
2(1 + x) + 5(2x + 3) = 2(5x + 9)
(1 * 2 + x * 2) + 5(2x + 3) = 2(5x + 9)
(2 + 2x) + 5(2x + 3) = 2(5x + 9)

Reorder the terms:
2 + 2x + 5(3 + 2x) = 2(5x + 9)
2 + 2x + (3 * 5 + 2x * 5) = 2(5x + 9)
2 + 2x + (15 + 10x) = 2(5x + 9)

Reorder the terms:
2 + 15 + 2x + 10x = 2(5x + 9)

Combine like terms: 2 + 15 = 17
17 + 2x + 10x = 2(5x + 9)

Combine like terms: 2x + 10x = 12x
17 + 12x = 2(5x + 9)

Reorder the terms:
17 + 12x = 2(9 + 5x)
17 + 12x = (9 * 2 + 5x * 2)
17 + 12x = (18 + 10x)

Solving
17 + 12x = 18 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
17 + 12x + -10x = 18 + 10x + -10x

Combine like terms: 12x + -10x = 2x
17 + 2x = 18 + 10x + -10x

Combine like terms: 10x + -10x = 0
17 + 2x = 18 + 0
17 + 2x = 18

Add '-17' to each side of the equation.
17 + -17 + 2x = 18 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 18 + -17
2x = 18 + -17

Combine like terms: 18 + -17 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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