2(3x+1)+4(5x+2)=9(2x+4)

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Solution for 2(3x+1)+4(5x+2)=9(2x+4) equation:


Simplifying
2(3x + 1) + 4(5x + 2) = 9(2x + 4)

Reorder the terms:
2(1 + 3x) + 4(5x + 2) = 9(2x + 4)
(1 * 2 + 3x * 2) + 4(5x + 2) = 9(2x + 4)
(2 + 6x) + 4(5x + 2) = 9(2x + 4)

Reorder the terms:
2 + 6x + 4(2 + 5x) = 9(2x + 4)
2 + 6x + (2 * 4 + 5x * 4) = 9(2x + 4)
2 + 6x + (8 + 20x) = 9(2x + 4)

Reorder the terms:
2 + 8 + 6x + 20x = 9(2x + 4)

Combine like terms: 2 + 8 = 10
10 + 6x + 20x = 9(2x + 4)

Combine like terms: 6x + 20x = 26x
10 + 26x = 9(2x + 4)

Reorder the terms:
10 + 26x = 9(4 + 2x)
10 + 26x = (4 * 9 + 2x * 9)
10 + 26x = (36 + 18x)

Solving
10 + 26x = 36 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
10 + 26x + -18x = 36 + 18x + -18x

Combine like terms: 26x + -18x = 8x
10 + 8x = 36 + 18x + -18x

Combine like terms: 18x + -18x = 0
10 + 8x = 36 + 0
10 + 8x = 36

Add '-10' to each side of the equation.
10 + -10 + 8x = 36 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 36 + -10
8x = 36 + -10

Combine like terms: 36 + -10 = 26
8x = 26

Divide each side by '8'.
x = 3.25

Simplifying
x = 3.25

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