0.857(x+1)=0.25(x+8)

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Solution for 0.857(x+1)=0.25(x+8) equation: 


Simplifying
0.857(x + 1) = 0.25(x + 8)

Reorder the terms:
0.857(1 + x) = 0.25(x + 8)
(1 * 0.857 + x * 0.857) = 0.25(x + 8)
(0.857 + 0.857x) = 0.25(x + 8)

Reorder the terms:
0.857 + 0.857x = 0.25(8 + x)
0.857 + 0.857x = (8 * 0.25 + x * 0.25)
0.857 + 0.857x = (2 + 0.25x)

Solving
0.857 + 0.857x = 2 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
0.857 + 0.857x + -0.25x = 2 + 0.25x + -0.25x

Combine like terms: 0.857x + -0.25x = 0.607x
0.857 + 0.607x = 2 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
0.857 + 0.607x = 2 + 0.00
0.857 + 0.607x = 2

Add '-0.857' to each side of the equation.
0.857 + -0.857 + 0.607x = 2 + -0.857

Combine like terms: 0.857 + -0.857 = 0.000
0.000 + 0.607x = 2 + -0.857
0.607x = 2 + -0.857

Combine like terms: 2 + -0.857 = 1.143
0.607x = 1.143

Divide each side by '0.607'.
x = 1.883031301

Simplifying
x = 1.883031301

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