9x-3(2x-1)+8=x-4-5x+10

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Solution for 9x-3(2x-1)+8=x-4-5x+10 equation:


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

Reorder the terms:
9x + -3(-1 + 2x) + 8 = x + -4 + -5x + 10
9x + (-1 * -3 + 2x * -3) + 8 = x + -4 + -5x + 10
9x + (3 + -6x) + 8 = x + -4 + -5x + 10

Reorder the terms:
3 + 8 + 9x + -6x = x + -4 + -5x + 10

Combine like terms: 3 + 8 = 11
11 + 9x + -6x = x + -4 + -5x + 10

Combine like terms: 9x + -6x = 3x
11 + 3x = x + -4 + -5x + 10

Reorder the terms:
11 + 3x = -4 + 10 + x + -5x

Combine like terms: -4 + 10 = 6
11 + 3x = 6 + x + -5x

Combine like terms: x + -5x = -4x
11 + 3x = 6 + -4x

Solving
11 + 3x = 6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
11 + 3x + 4x = 6 + -4x + 4x

Combine like terms: 3x + 4x = 7x
11 + 7x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + 7x = 6 + 0
11 + 7x = 6

Add '-11' to each side of the equation.
11 + -11 + 7x = 6 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 6 + -11
7x = 6 + -11

Combine like terms: 6 + -11 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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