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

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


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

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

Combine like terms: 9 + 2 = 11
11 + -2x + 5x = 4(x + -8)

Combine like terms: -2x + 5x = 3x
11 + 3x = 4(x + -8)

Reorder the terms:
11 + 3x = 4(-8 + x)
11 + 3x = (-8 * 4 + x * 4)
11 + 3x = (-32 + 4x)

Solving
11 + 3x = -32 + 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 = -32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
11 + -1x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -1x = -32 + 0
11 + -1x = -32

Add '-11' to each side of the equation.
11 + -11 + -1x = -32 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -32 + -11
-1x = -32 + -11

Combine like terms: -32 + -11 = -43
-1x = -43

Divide each side by '-1'.
x = 43

Simplifying
x = 43

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