5(5.25+3.1x)=-6.2(2.5x+1.9)

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Solution for 5(5.25+3.1x)=-6.2(2.5x+1.9) equation: 


Simplifying
5(5.25 + 3.1x) = -6.2(2.5x + 1.9)
(5.25 * 5 + 3.1x * 5) = -6.2(2.5x + 1.9)
(26.25 + 15.5x) = -6.2(2.5x + 1.9)

Reorder the terms:
26.25 + 15.5x = -6.2(1.9 + 2.5x)
26.25 + 15.5x = (1.9 * -6.2 + 2.5x * -6.2)
26.25 + 15.5x = (-11.78 + -15.5x)

Solving
26.25 + 15.5x = -11.78 + -15.5x

Solving for variable 'x'.

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

Add '15.5x' to each side of the equation.
26.25 + 15.5x + 15.5x = -11.78 + -15.5x + 15.5x

Combine like terms: 15.5x + 15.5x = 31x
26.25 + 31x = -11.78 + -15.5x + 15.5x

Combine like terms: -15.5x + 15.5x = 0.0
26.25 + 31x = -11.78 + 0.0
26.25 + 31x = -11.78

Add '-26.25' to each side of the equation.
26.25 + -26.25 + 31x = -11.78 + -26.25

Combine like terms: 26.25 + -26.25 = 0.00
0.00 + 31x = -11.78 + -26.25
31x = -11.78 + -26.25

Combine like terms: -11.78 + -26.25 = -38.03
31x = -38.03

Divide each side by '31'.
x = -1.226774194

Simplifying
x = -1.226774194

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