2.5(4+7x)+3=5.5x-17

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Solution for 2.5(4+7x)+3=5.5x-17 equation: 


Simplifying
2.5(4 + 7x) + 3 = 5.5x + -17
(4 * 2.5 + 7x * 2.5) + 3 = 5.5x + -17
(10 + 17.5x) + 3 = 5.5x + -17

Reorder the terms:
10 + 3 + 17.5x = 5.5x + -17

Combine like terms: 10 + 3 = 13
13 + 17.5x = 5.5x + -17

Reorder the terms:
13 + 17.5x = -17 + 5.5x

Solving
13 + 17.5x = -17 + 5.5x

Solving for variable 'x'.

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

Add '-5.5x' to each side of the equation.
13 + 17.5x + -5.5x = -17 + 5.5x + -5.5x

Combine like terms: 17.5x + -5.5x = 12x
13 + 12x = -17 + 5.5x + -5.5x

Combine like terms: 5.5x + -5.5x = 0.0
13 + 12x = -17 + 0.0
13 + 12x = -17

Add '-13' to each side of the equation.
13 + -13 + 12x = -17 + -13

Combine like terms: 13 + -13 = 0
0 + 12x = -17 + -13
12x = -17 + -13

Combine like terms: -17 + -13 = -30
12x = -30

Divide each side by '12'.
x = -2.5

Simplifying
x = -2.5

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