8-9(6x-3)=2-(4x-5)

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Solution for 8-9(6x-3)=2-(4x-5) equation:


Simplifying
8 + -9(6x + -3) = 2 + -1(4x + -5)

Reorder the terms:
8 + -9(-3 + 6x) = 2 + -1(4x + -5)
8 + (-3 * -9 + 6x * -9) = 2 + -1(4x + -5)
8 + (27 + -54x) = 2 + -1(4x + -5)

Combine like terms: 8 + 27 = 35
35 + -54x = 2 + -1(4x + -5)

Reorder the terms:
35 + -54x = 2 + -1(-5 + 4x)
35 + -54x = 2 + (-5 * -1 + 4x * -1)
35 + -54x = 2 + (5 + -4x)

Combine like terms: 2 + 5 = 7
35 + -54x = 7 + -4x

Solving
35 + -54x = 7 + -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.
35 + -54x + 4x = 7 + -4x + 4x

Combine like terms: -54x + 4x = -50x
35 + -50x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
35 + -50x = 7 + 0
35 + -50x = 7

Add '-35' to each side of the equation.
35 + -35 + -50x = 7 + -35

Combine like terms: 35 + -35 = 0
0 + -50x = 7 + -35
-50x = 7 + -35

Combine like terms: 7 + -35 = -28
-50x = -28

Divide each side by '-50'.
x = 0.56

Simplifying
x = 0.56

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