0.75(3x+2)=2(3-4x)+16

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Solution for 0.75(3x+2)=2(3-4x)+16 equation: 


Simplifying
0.75(3x + 2) = 2(3 + -4x) + 16

Reorder the terms:
0.75(2 + 3x) = 2(3 + -4x) + 16
(2 * 0.75 + 3x * 0.75) = 2(3 + -4x) + 16
(1.5 + 2.25x) = 2(3 + -4x) + 16
1.5 + 2.25x = (3 * 2 + -4x * 2) + 16
1.5 + 2.25x = (6 + -8x) + 16

Reorder the terms:
1.5 + 2.25x = 6 + 16 + -8x

Combine like terms: 6 + 16 = 22
1.5 + 2.25x = 22 + -8x

Solving
1.5 + 2.25x = 22 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
1.5 + 2.25x + 8x = 22 + -8x + 8x

Combine like terms: 2.25x + 8x = 10.25x
1.5 + 10.25x = 22 + -8x + 8x

Combine like terms: -8x + 8x = 0
1.5 + 10.25x = 22 + 0
1.5 + 10.25x = 22

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 10.25x = 22 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 10.25x = 22 + -1.5
10.25x = 22 + -1.5

Combine like terms: 22 + -1.5 = 20.5
10.25x = 20.5

Divide each side by '10.25'.
x = 2

Simplifying
x = 2

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