-x+2(2-7x)-(10+9x)=3x-5+8

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Solution for -x+2(2-7x)-(10+9x)=3x-5+8 equation:


Simplifying
-1x + 2(2 + -7x) + -1(10 + 9x) = 3x + -5 + 8
-1x + (2 * 2 + -7x * 2) + -1(10 + 9x) = 3x + -5 + 8
-1x + (4 + -14x) + -1(10 + 9x) = 3x + -5 + 8
-1x + 4 + -14x + (10 * -1 + 9x * -1) = 3x + -5 + 8
-1x + 4 + -14x + (-10 + -9x) = 3x + -5 + 8

Reorder the terms:
4 + -10 + -1x + -14x + -9x = 3x + -5 + 8

Combine like terms: 4 + -10 = -6
-6 + -1x + -14x + -9x = 3x + -5 + 8

Combine like terms: -1x + -14x = -15x
-6 + -15x + -9x = 3x + -5 + 8

Combine like terms: -15x + -9x = -24x
-6 + -24x = 3x + -5 + 8

Reorder the terms:
-6 + -24x = -5 + 8 + 3x

Combine like terms: -5 + 8 = 3
-6 + -24x = 3 + 3x

Solving
-6 + -24x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + -24x + -3x = 3 + 3x + -3x

Combine like terms: -24x + -3x = -27x
-6 + -27x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -27x = 3 + 0
-6 + -27x = 3

Add '6' to each side of the equation.
-6 + 6 + -27x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -27x = 3 + 6
-27x = 3 + 6

Combine like terms: 3 + 6 = 9
-27x = 9

Divide each side by '-27'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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