0.25(5x+2)=3(4-3x)+9

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Solution for 0.25(5x+2)=3(4-3x)+9 equation: 


Simplifying
0.25(5x + 2) = 3(4 + -3x) + 9

Reorder the terms:
0.25(2 + 5x) = 3(4 + -3x) + 9
(2 * 0.25 + 5x * 0.25) = 3(4 + -3x) + 9
(0.5 + 1.25x) = 3(4 + -3x) + 9
0.5 + 1.25x = (4 * 3 + -3x * 3) + 9
0.5 + 1.25x = (12 + -9x) + 9

Reorder the terms:
0.5 + 1.25x = 12 + 9 + -9x

Combine like terms: 12 + 9 = 21
0.5 + 1.25x = 21 + -9x

Solving
0.5 + 1.25x = 21 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
0.5 + 1.25x + 9x = 21 + -9x + 9x

Combine like terms: 1.25x + 9x = 10.25x
0.5 + 10.25x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
0.5 + 10.25x = 21 + 0
0.5 + 10.25x = 21

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 10.25x = 21 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 10.25x = 21 + -0.5
10.25x = 21 + -0.5

Combine like terms: 21 + -0.5 = 20.5
10.25x = 20.5

Divide each side by '10.25'.
x = 2

Simplifying
x = 2

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