3+2.5(3x+4)=1.75x-8

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Solution for 3+2.5(3x+4)=1.75x-8 equation: 


Simplifying
3 + 2.5(3x + 4) = 1.75x + -8

Reorder the terms:
3 + 2.5(4 + 3x) = 1.75x + -8
3 + (4 * 2.5 + 3x * 2.5) = 1.75x + -8
3 + (10 + 7.5x) = 1.75x + -8

Combine like terms: 3 + 10 = 13
13 + 7.5x = 1.75x + -8

Reorder the terms:
13 + 7.5x = -8 + 1.75x

Solving
13 + 7.5x = -8 + 1.75x

Solving for variable 'x'.

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

Add '-1.75x' to each side of the equation.
13 + 7.5x + -1.75x = -8 + 1.75x + -1.75x

Combine like terms: 7.5x + -1.75x = 5.75x
13 + 5.75x = -8 + 1.75x + -1.75x

Combine like terms: 1.75x + -1.75x = 0.00
13 + 5.75x = -8 + 0.00
13 + 5.75x = -8

Add '-13' to each side of the equation.
13 + -13 + 5.75x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 5.75x = -8 + -13
5.75x = -8 + -13

Combine like terms: -8 + -13 = -21
5.75x = -21

Divide each side by '5.75'.
x = -3.652173913

Simplifying
x = -3.652173913

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