-0.83x-(x-0.5)=0.25(x+1)

Solution for -0.83x-(x-0.5)=0.25(x+1) equation:

Simplifying
-0.83x + -1(x + -0.5) = 0.25(x + 1)

Reorder the terms:
-0.83x + -1(-0.5 + x) = 0.25(x + 1)
-0.83x + (-0.5 * -1 + x * -1) = 0.25(x + 1)
-0.83x + (0.5 + -1x) = 0.25(x + 1)

Reorder the terms:
0.5 + -0.83x + -1x = 0.25(x + 1)

Combine like terms: -0.83x + -1x = -1.83x
0.5 + -1.83x = 0.25(x + 1)

Reorder the terms:
0.5 + -1.83x = 0.25(1 + x)
0.5 + -1.83x = (1 * 0.25 + x * 0.25)
0.5 + -1.83x = (0.25 + 0.25x)

Solving
0.5 + -1.83x = 0.25 + 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.
0.5 + -1.83x + -0.25x = 0.25 + 0.25x + -0.25x

Combine like terms: -1.83x + -0.25x = -2.08x
0.5 + -2.08x = 0.25 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
0.5 + -2.08x = 0.25 + 0.00
0.5 + -2.08x = 0.25

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -2.08x = 0.25 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2.08x = 0.25 + -0.5
-2.08x = 0.25 + -0.5

Combine like terms: 0.25 + -0.5 = -0.25
-2.08x = -0.25

Divide each side by '-2.08'.
x = 0.1201923077

Simplifying
x = 0.1201923077