2.9(x+6.1)=7.8x-9.75

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Solution for 2.9(x+6.1)=7.8x-9.75 equation: 


Simplifying
2.9(x + 6.1) = 7.8x + -9.75

Reorder the terms:
2.9(6.1 + x) = 7.8x + -9.75
(6.1 * 2.9 + x * 2.9) = 7.8x + -9.75
(17.69 + 2.9x) = 7.8x + -9.75

Reorder the terms:
17.69 + 2.9x = -9.75 + 7.8x

Solving
17.69 + 2.9x = -9.75 + 7.8x

Solving for variable 'x'.

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

Add '-7.8x' to each side of the equation.
17.69 + 2.9x + -7.8x = -9.75 + 7.8x + -7.8x

Combine like terms: 2.9x + -7.8x = -4.9x
17.69 + -4.9x = -9.75 + 7.8x + -7.8x

Combine like terms: 7.8x + -7.8x = 0.0
17.69 + -4.9x = -9.75 + 0.0
17.69 + -4.9x = -9.75

Add '-17.69' to each side of the equation.
17.69 + -17.69 + -4.9x = -9.75 + -17.69

Combine like terms: 17.69 + -17.69 = 0.00
0.00 + -4.9x = -9.75 + -17.69
-4.9x = -9.75 + -17.69

Combine like terms: -9.75 + -17.69 = -27.44
-4.9x = -27.44

Divide each side by '-4.9'.
x = 5.6

Simplifying
x = 5.6

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