4x+5-3(2x-5)=9-(8x-1)+2

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Solution for 4x+5-3(2x-5)=9-(8x-1)+2 equation:


Simplifying
4x + 5 + -3(2x + -5) = 9 + -1(8x + -1) + 2

Reorder the terms:
4x + 5 + -3(-5 + 2x) = 9 + -1(8x + -1) + 2
4x + 5 + (-5 * -3 + 2x * -3) = 9 + -1(8x + -1) + 2
4x + 5 + (15 + -6x) = 9 + -1(8x + -1) + 2

Reorder the terms:
5 + 15 + 4x + -6x = 9 + -1(8x + -1) + 2

Combine like terms: 5 + 15 = 20
20 + 4x + -6x = 9 + -1(8x + -1) + 2

Combine like terms: 4x + -6x = -2x
20 + -2x = 9 + -1(8x + -1) + 2

Reorder the terms:
20 + -2x = 9 + -1(-1 + 8x) + 2
20 + -2x = 9 + (-1 * -1 + 8x * -1) + 2
20 + -2x = 9 + (1 + -8x) + 2

Reorder the terms:
20 + -2x = 9 + 1 + 2 + -8x

Combine like terms: 9 + 1 = 10
20 + -2x = 10 + 2 + -8x

Combine like terms: 10 + 2 = 12
20 + -2x = 12 + -8x

Solving
20 + -2x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
20 + -2x + 8x = 12 + -8x + 8x

Combine like terms: -2x + 8x = 6x
20 + 6x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
20 + 6x = 12 + 0
20 + 6x = 12

Add '-20' to each side of the equation.
20 + -20 + 6x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = 12 + -20
6x = 12 + -20

Combine like terms: 12 + -20 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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