.75(5x+2)=3(4-3x)+15

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Solution for .75(5x+2)=3(4-3x)+15 equation:


Simplifying
0.75(5x + 2) = 3(4 + -3x) + 15

Reorder the terms:
0.75(2 + 5x) = 3(4 + -3x) + 15
(2 * 0.75 + 5x * 0.75) = 3(4 + -3x) + 15
(1.5 + 3.75x) = 3(4 + -3x) + 15
1.5 + 3.75x = (4 * 3 + -3x * 3) + 15
1.5 + 3.75x = (12 + -9x) + 15

Reorder the terms:
1.5 + 3.75x = 12 + 15 + -9x

Combine like terms: 12 + 15 = 27
1.5 + 3.75x = 27 + -9x

Solving
1.5 + 3.75x = 27 + -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.
1.5 + 3.75x + 9x = 27 + -9x + 9x

Combine like terms: 3.75x + 9x = 12.75x
1.5 + 12.75x = 27 + -9x + 9x

Combine like terms: -9x + 9x = 0
1.5 + 12.75x = 27 + 0
1.5 + 12.75x = 27

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 12.75x = 27 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 12.75x = 27 + -1.5
12.75x = 27 + -1.5

Combine like terms: 27 + -1.5 = 25.5
12.75x = 25.5

Divide each side by '12.75'.
x = 2

Simplifying
x = 2

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