3.5(0.1x+1)-4.1x=2.5(2-1.2x)

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Solution for 3.5(0.1x+1)-4.1x=2.5(2-1.2x) equation: 


Simplifying
3.5(0.1x + 1) + -4.1x = 2.5(2 + -1.2x)

Reorder the terms:
3.5(1 + 0.1x) + -4.1x = 2.5(2 + -1.2x)
(1 * 3.5 + 0.1x * 3.5) + -4.1x = 2.5(2 + -1.2x)
(3.5 + 0.35x) + -4.1x = 2.5(2 + -1.2x)

Combine like terms: 0.35x + -4.1x = -3.75x
3.5 + -3.75x = 2.5(2 + -1.2x)
3.5 + -3.75x = (2 * 2.5 + -1.2x * 2.5)
3.5 + -3.75x = (5 + -3x)

Solving
3.5 + -3.75x = 5 + -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.
3.5 + -3.75x + 3x = 5 + -3x + 3x

Combine like terms: -3.75x + 3x = -0.75x
3.5 + -0.75x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
3.5 + -0.75x = 5 + 0
3.5 + -0.75x = 5

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -0.75x = 5 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -0.75x = 5 + -3.5
-0.75x = 5 + -3.5

Combine like terms: 5 + -3.5 = 1.5
-0.75x = 1.5

Divide each side by '-0.75'.
x = -2

Simplifying
x = -2

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