2x-7+8x-6+0.2x-5+0.04x-4+0.06x-3+0.254x-2+0.01x-1-2=0

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Solution for 2x-7+8x-6+0.2x-5+0.04x-4+0.06x-3+0.254x-2+0.01x-1-2=0 equation:


Simplifying
2x + -7 + 8x + -6 + 0.2x + -5 + 0.04x + -4 + 0.06x + -3 + 0.254x + -2 + 0.01x + -1 + -2 = 0

Reorder the terms:
-7 + -6 + -5 + -4 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: -7 + -6 = -13
-13 + -5 + -4 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: -13 + -5 = -18
-18 + -4 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: -18 + -4 = -22
-22 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: -22 + -3 = -25
-25 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: -25 + -2 = -27
-27 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: -27 + -1 = -28
-28 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: -28 + -2 = -30
-30 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: 2x + 8x = 10x
-30 + 10x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: 10x + 0.2x = 10.2x
-30 + 10.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: 10.2x + 0.04x = 10.24x
-30 + 10.24x + 0.06x + 0.254x + 0.01x = 0

Combine like terms: 10.24x + 0.06x = 10.3x
-30 + 10.3x + 0.254x + 0.01x = 0

Combine like terms: 10.3x + 0.254x = 10.554x
-30 + 10.554x + 0.01x = 0

Combine like terms: 10.554x + 0.01x = 10.564x
-30 + 10.564x = 0

Solving
-30 + 10.564x = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 10.564x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 10.564x = 0 + 30
10.564x = 0 + 30

Combine like terms: 0 + 30 = 30
10.564x = 30

Divide each side by '10.564'.
x = 2.839833396

Simplifying
x = 2.839833396

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