2(0.5x+3)+2(4.5x+5)=51

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Solution for 2(0.5x+3)+2(4.5x+5)=51 equation:


Simplifying
2(0.5x + 3) + 2(4.5x + 5) = 51

Reorder the terms:
2(3 + 0.5x) + 2(4.5x + 5) = 51
(3 * 2 + 0.5x * 2) + 2(4.5x + 5) = 51
(6 + 1x) + 2(4.5x + 5) = 51

Reorder the terms:
6 + 1x + 2(5 + 4.5x) = 51
6 + 1x + (5 * 2 + 4.5x * 2) = 51
6 + 1x + (10 + 9x) = 51

Reorder the terms:
6 + 10 + 1x + 9x = 51

Combine like terms: 6 + 10 = 16
16 + 1x + 9x = 51

Combine like terms: 1x + 9x = 10x
16 + 10x = 51

Solving
16 + 10x = 51

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 10x = 51 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = 51 + -16
10x = 51 + -16

Combine like terms: 51 + -16 = 35
10x = 35

Divide each side by '10'.
x = 3.5

Simplifying
x = 3.5

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