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

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


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

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

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

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

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

Combine like terms: -6x + -7x = -13x
1 + -13x = 9 + -1(5x + 1)

Reorder the terms:
1 + -13x = 9 + -1(1 + 5x)
1 + -13x = 9 + (1 * -1 + 5x * -1)
1 + -13x = 9 + (-1 + -5x)

Combine like terms: 9 + -1 = 8
1 + -13x = 8 + -5x

Solving
1 + -13x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + -13x + 5x = 8 + -5x + 5x

Combine like terms: -13x + 5x = -8x
1 + -8x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + -8x = 8 + 0
1 + -8x = 8

Add '-1' to each side of the equation.
1 + -1 + -8x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 8 + -1
-8x = 8 + -1

Combine like terms: 8 + -1 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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