2.5(x+7)=3x-3.46

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Solution for 2.5(x+7)=3x-3.46 equation: 


Simplifying
2.5(x + 7) = 3x + -3.46

Reorder the terms:
2.5(7 + x) = 3x + -3.46
(7 * 2.5 + x * 2.5) = 3x + -3.46
(17.5 + 2.5x) = 3x + -3.46

Reorder the terms:
17.5 + 2.5x = -3.46 + 3x

Solving
17.5 + 2.5x = -3.46 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17.5 + 2.5x + -3x = -3.46 + 3x + -3x

Combine like terms: 2.5x + -3x = -0.5x
17.5 + -0.5x = -3.46 + 3x + -3x

Combine like terms: 3x + -3x = 0
17.5 + -0.5x = -3.46 + 0
17.5 + -0.5x = -3.46

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -0.5x = -3.46 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -0.5x = -3.46 + -17.5
-0.5x = -3.46 + -17.5

Combine like terms: -3.46 + -17.5 = -20.96
-0.5x = -20.96

Divide each side by '-0.5'.
x = 41.92

Simplifying
x = 41.92

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