-5(5.25+3.1x)=6.2(2.25x+1.9)

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Solution for -5(5.25+3.1x)=6.2(2.25x+1.9) equation: 


Simplifying
-5(5.25 + 3.1x) = 6.2(2.25x + 1.9)
(5.25 * -5 + 3.1x * -5) = 6.2(2.25x + 1.9)
(-26.25 + -15.5x) = 6.2(2.25x + 1.9)

Reorder the terms:
-26.25 + -15.5x = 6.2(1.9 + 2.25x)
-26.25 + -15.5x = (1.9 * 6.2 + 2.25x * 6.2)
-26.25 + -15.5x = (11.78 + 13.95x)

Solving
-26.25 + -15.5x = 11.78 + 13.95x

Solving for variable 'x'.

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

Add '-13.95x' to each side of the equation.
-26.25 + -15.5x + -13.95x = 11.78 + 13.95x + -13.95x

Combine like terms: -15.5x + -13.95x = -29.45x
-26.25 + -29.45x = 11.78 + 13.95x + -13.95x

Combine like terms: 13.95x + -13.95x = 0.00
-26.25 + -29.45x = 11.78 + 0.00
-26.25 + -29.45x = 11.78

Add '26.25' to each side of the equation.
-26.25 + 26.25 + -29.45x = 11.78 + 26.25

Combine like terms: -26.25 + 26.25 = 0.00
0.00 + -29.45x = 11.78 + 26.25
-29.45x = 11.78 + 26.25

Combine like terms: 11.78 + 26.25 = 38.03
-29.45x = 38.03

Divide each side by '-29.45'.
x = -1.291341256

Simplifying
x = -1.291341256

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