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

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


Simplifying
-5(5.25 + 3.1x) = -6.2(0.5x + 1.9)
(5.25 * -5 + 3.1x * -5) = -6.2(0.5x + 1.9)
(-26.25 + -15.5x) = -6.2(0.5x + 1.9)

Reorder the terms:
-26.25 + -15.5x = -6.2(1.9 + 0.5x)
-26.25 + -15.5x = (1.9 * -6.2 + 0.5x * -6.2)
-26.25 + -15.5x = (-11.78 + -3.1x)

Solving
-26.25 + -15.5x = -11.78 + -3.1x

Solving for variable 'x'.

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

Add '3.1x' to each side of the equation.
-26.25 + -15.5x + 3.1x = -11.78 + -3.1x + 3.1x

Combine like terms: -15.5x + 3.1x = -12.4x
-26.25 + -12.4x = -11.78 + -3.1x + 3.1x

Combine like terms: -3.1x + 3.1x = 0.0
-26.25 + -12.4x = -11.78 + 0.0
-26.25 + -12.4x = -11.78

Add '26.25' to each side of the equation.
-26.25 + 26.25 + -12.4x = -11.78 + 26.25

Combine like terms: -26.25 + 26.25 = 0.00
0.00 + -12.4x = -11.78 + 26.25
-12.4x = -11.78 + 26.25

Combine like terms: -11.78 + 26.25 = 14.47
-12.4x = 14.47

Divide each side by '-12.4'.
x = -1.166935484

Simplifying
x = -1.166935484

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