.142857(x+21)=2x+57

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Solution for .142857(x+21)=2x+57 equation: 


Simplifying
0.142857(x + 21) = 2x + 57

Reorder the terms:
0.142857(21 + x) = 2x + 57
(21 * 0.142857 + x * 0.142857) = 2x + 57
(2.999997 + 0.142857x) = 2x + 57

Reorder the terms:
2.999997 + 0.142857x = 57 + 2x

Solving
2.999997 + 0.142857x = 57 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2.999997 + 0.142857x + -2x = 57 + 2x + -2x

Combine like terms: 0.142857x + -2x = -1.857143x
2.999997 + -1.857143x = 57 + 2x + -2x

Combine like terms: 2x + -2x = 0
2.999997 + -1.857143x = 57 + 0
2.999997 + -1.857143x = 57

Add '-2.999997' to each side of the equation.
2.999997 + -2.999997 + -1.857143x = 57 + -2.999997

Combine like terms: 2.999997 + -2.999997 = 0.000000
0.000000 + -1.857143x = 57 + -2.999997
-1.857143x = 57 + -2.999997

Combine like terms: 57 + -2.999997 = 54.000003
-1.857143x = 54.000003

Divide each side by '-1.857143'.
x = -29.07692246

Simplifying
x = -29.07692246

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