(4x-6+5x)+(9-5x+3-2x)=7x-(1-6)

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Solution for (4x-6+5x)+(9-5x+3-2x)=7x-(1-6) equation: 


Simplifying
(4x + -6 + 5x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6)

Reorder the terms:
(-6 + 4x + 5x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6)

Combine like terms: 4x + 5x = 9x
(-6 + 9x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6)

Remove parenthesis around (-6 + 9x)
-6 + 9x + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6)

Reorder the terms:
-6 + 9x + (9 + 3 + -5x + -2x) = 7x + -1(1 + -6)

Combine like terms: 9 + 3 = 12
-6 + 9x + (12 + -5x + -2x) = 7x + -1(1 + -6)

Combine like terms: -5x + -2x = -7x
-6 + 9x + (12 + -7x) = 7x + -1(1 + -6)

Remove parenthesis around (12 + -7x)
-6 + 9x + 12 + -7x = 7x + -1(1 + -6)

Reorder the terms:
-6 + 12 + 9x + -7x = 7x + -1(1 + -6)

Combine like terms: -6 + 12 = 6
6 + 9x + -7x = 7x + -1(1 + -6)

Combine like terms: 9x + -7x = 2x
6 + 2x = 7x + -1(1 + -6)

Combine like terms: 1 + -6 = -5
6 + 2x = 7x + -1(-5)

Multiply -1 * -5
6 + 2x = 7x + 5

Reorder the terms:
6 + 2x = 5 + 7x

Solving
6 + 2x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 2x + -7x = 5 + 7x + -7x

Combine like terms: 2x + -7x = -5x
6 + -5x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -5x = 5 + 0
6 + -5x = 5

Add '-6' to each side of the equation.
6 + -6 + -5x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 5 + -6
-5x = 5 + -6

Combine like terms: 5 + -6 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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