0.75(5x+2)=2(4-3x)+13

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Solution for 0.75(5x+2)=2(4-3x)+13 equation: 


Simplifying
0.75(5x + 2) = 2(4 + -3x) + 13

Reorder the terms:
0.75(2 + 5x) = 2(4 + -3x) + 13
(2 * 0.75 + 5x * 0.75) = 2(4 + -3x) + 13
(1.5 + 3.75x) = 2(4 + -3x) + 13
1.5 + 3.75x = (4 * 2 + -3x * 2) + 13
1.5 + 3.75x = (8 + -6x) + 13

Reorder the terms:
1.5 + 3.75x = 8 + 13 + -6x

Combine like terms: 8 + 13 = 21
1.5 + 3.75x = 21 + -6x

Solving
1.5 + 3.75x = 21 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1.5 + 3.75x + 6x = 21 + -6x + 6x

Combine like terms: 3.75x + 6x = 9.75x
1.5 + 9.75x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
1.5 + 9.75x = 21 + 0
1.5 + 9.75x = 21

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 9.75x = 21 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 9.75x = 21 + -1.5
9.75x = 21 + -1.5

Combine like terms: 21 + -1.5 = 19.5
9.75x = 19.5

Divide each side by '9.75'.
x = 2

Simplifying
x = 2

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