7+9(-6x+5)=-5(7x-6)+2

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Solution for 7+9(-6x+5)=-5(7x-6)+2 equation:


Simplifying
7 + 9(-6x + 5) = -5(7x + -6) + 2

Reorder the terms:
7 + 9(5 + -6x) = -5(7x + -6) + 2
7 + (5 * 9 + -6x * 9) = -5(7x + -6) + 2
7 + (45 + -54x) = -5(7x + -6) + 2

Combine like terms: 7 + 45 = 52
52 + -54x = -5(7x + -6) + 2

Reorder the terms:
52 + -54x = -5(-6 + 7x) + 2
52 + -54x = (-6 * -5 + 7x * -5) + 2
52 + -54x = (30 + -35x) + 2

Reorder the terms:
52 + -54x = 30 + 2 + -35x

Combine like terms: 30 + 2 = 32
52 + -54x = 32 + -35x

Solving
52 + -54x = 32 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
52 + -54x + 35x = 32 + -35x + 35x

Combine like terms: -54x + 35x = -19x
52 + -19x = 32 + -35x + 35x

Combine like terms: -35x + 35x = 0
52 + -19x = 32 + 0
52 + -19x = 32

Add '-52' to each side of the equation.
52 + -52 + -19x = 32 + -52

Combine like terms: 52 + -52 = 0
0 + -19x = 32 + -52
-19x = 32 + -52

Combine like terms: 32 + -52 = -20
-19x = -20

Divide each side by '-19'.
x = 1.052631579

Simplifying
x = 1.052631579

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