5x-3(4x-8)=9(x-1)+22

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Solution for 5x-3(4x-8)=9(x-1)+22 equation: 


Simplifying
5x + -3(4x + -8) = 9(x + -1) + 22

Reorder the terms:
5x + -3(-8 + 4x) = 9(x + -1) + 22
5x + (-8 * -3 + 4x * -3) = 9(x + -1) + 22
5x + (24 + -12x) = 9(x + -1) + 22

Reorder the terms:
24 + 5x + -12x = 9(x + -1) + 22

Combine like terms: 5x + -12x = -7x
24 + -7x = 9(x + -1) + 22

Reorder the terms:
24 + -7x = 9(-1 + x) + 22
24 + -7x = (-1 * 9 + x * 9) + 22
24 + -7x = (-9 + 9x) + 22

Reorder the terms:
24 + -7x = -9 + 22 + 9x

Combine like terms: -9 + 22 = 13
24 + -7x = 13 + 9x

Solving
24 + -7x = 13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
24 + -7x + -9x = 13 + 9x + -9x

Combine like terms: -7x + -9x = -16x
24 + -16x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -16x = 13 + 0
24 + -16x = 13

Add '-24' to each side of the equation.
24 + -24 + -16x = 13 + -24

Combine like terms: 24 + -24 = 0
0 + -16x = 13 + -24
-16x = 13 + -24

Combine like terms: 13 + -24 = -11
-16x = -11

Divide each side by '-16'.
x = 0.6875

Simplifying
x = 0.6875

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