-(5x-3)-(4x-7)+6=-7(x-4)-(9x+5)+8

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Solution for -(5x-3)-(4x-7)+6=-7(x-4)-(9x+5)+8 equation: 


Simplifying
-1(5x + -3) + -1(4x + -7) + 6 = -7(x + -4) + -1(9x + 5) + 8

Reorder the terms:
-1(-3 + 5x) + -1(4x + -7) + 6 = -7(x + -4) + -1(9x + 5) + 8
(-3 * -1 + 5x * -1) + -1(4x + -7) + 6 = -7(x + -4) + -1(9x + 5) + 8
(3 + -5x) + -1(4x + -7) + 6 = -7(x + -4) + -1(9x + 5) + 8

Reorder the terms:
3 + -5x + -1(-7 + 4x) + 6 = -7(x + -4) + -1(9x + 5) + 8
3 + -5x + (-7 * -1 + 4x * -1) + 6 = -7(x + -4) + -1(9x + 5) + 8
3 + -5x + (7 + -4x) + 6 = -7(x + -4) + -1(9x + 5) + 8

Reorder the terms:
3 + 7 + 6 + -5x + -4x = -7(x + -4) + -1(9x + 5) + 8

Combine like terms: 3 + 7 = 10
10 + 6 + -5x + -4x = -7(x + -4) + -1(9x + 5) + 8

Combine like terms: 10 + 6 = 16
16 + -5x + -4x = -7(x + -4) + -1(9x + 5) + 8

Combine like terms: -5x + -4x = -9x
16 + -9x = -7(x + -4) + -1(9x + 5) + 8

Reorder the terms:
16 + -9x = -7(-4 + x) + -1(9x + 5) + 8
16 + -9x = (-4 * -7 + x * -7) + -1(9x + 5) + 8
16 + -9x = (28 + -7x) + -1(9x + 5) + 8

Reorder the terms:
16 + -9x = 28 + -7x + -1(5 + 9x) + 8
16 + -9x = 28 + -7x + (5 * -1 + 9x * -1) + 8
16 + -9x = 28 + -7x + (-5 + -9x) + 8

Reorder the terms:
16 + -9x = 28 + -5 + 8 + -7x + -9x

Combine like terms: 28 + -5 = 23
16 + -9x = 23 + 8 + -7x + -9x

Combine like terms: 23 + 8 = 31
16 + -9x = 31 + -7x + -9x

Combine like terms: -7x + -9x = -16x
16 + -9x = 31 + -16x

Solving
16 + -9x = 31 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
16 + -9x + 16x = 31 + -16x + 16x

Combine like terms: -9x + 16x = 7x
16 + 7x = 31 + -16x + 16x

Combine like terms: -16x + 16x = 0
16 + 7x = 31 + 0
16 + 7x = 31

Add '-16' to each side of the equation.
16 + -16 + 7x = 31 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 31 + -16
7x = 31 + -16

Combine like terms: 31 + -16 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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