x+0.75x+0.125=0.875(x-0.285)

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Solution for x+0.75x+0.125=0.875(x-0.285) equation:


Simplifying
x + 0.75x + 0.125 = 0.875(x + -0.285)

Reorder the terms:
0.125 + x + 0.75x = 0.875(x + -0.285)

Combine like terms: x + 0.75x = 1.75x
0.125 + 1.75x = 0.875(x + -0.285)

Reorder the terms:
0.125 + 1.75x = 0.875(-0.285 + x)
0.125 + 1.75x = (-0.285 * 0.875 + x * 0.875)
0.125 + 1.75x = (-0.249375 + 0.875x)

Solving
0.125 + 1.75x = -0.249375 + 0.875x

Solving for variable 'x'.

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

Add '-0.875x' to each side of the equation.
0.125 + 1.75x + -0.875x = -0.249375 + 0.875x + -0.875x

Combine like terms: 1.75x + -0.875x = 0.875x
0.125 + 0.875x = -0.249375 + 0.875x + -0.875x

Combine like terms: 0.875x + -0.875x = 0.000
0.125 + 0.875x = -0.249375 + 0.000
0.125 + 0.875x = -0.249375

Add '-0.125' to each side of the equation.
0.125 + -0.125 + 0.875x = -0.249375 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + 0.875x = -0.249375 + -0.125
0.875x = -0.249375 + -0.125

Combine like terms: -0.249375 + -0.125 = -0.374375
0.875x = -0.374375

Divide each side by '0.875'.
x = -0.4278571429

Simplifying
x = -0.4278571429

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