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

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


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

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

Remove parenthesis around (-5 + 7x)
-5 + 7x + -1(x + -4) + (3x + -8) = 3x + -5

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

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

Remove parenthesis around (-8 + 3x)
-5 + 7x + 4 + -1x + -8 + 3x = 3x + -5

Reorder the terms:
-5 + 4 + -8 + 7x + -1x + 3x = 3x + -5

Combine like terms: -5 + 4 = -1
-1 + -8 + 7x + -1x + 3x = 3x + -5

Combine like terms: -1 + -8 = -9
-9 + 7x + -1x + 3x = 3x + -5

Combine like terms: 7x + -1x = 6x
-9 + 6x + 3x = 3x + -5

Combine like terms: 6x + 3x = 9x
-9 + 9x = 3x + -5

Reorder the terms:
-9 + 9x = -5 + 3x

Solving
-9 + 9x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 9x + -3x = -5 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-9 + 6x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 6x = -5 + 0
-9 + 6x = -5

Add '9' to each side of the equation.
-9 + 9 + 6x = -5 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = -5 + 9
6x = -5 + 9

Combine like terms: -5 + 9 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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