-(3x-7)-(2x-7)+6=-5(x-8)-(2x+7)+6

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Solution for -(3x-7)-(2x-7)+6=-5(x-8)-(2x+7)+6 equation:


Simplifying
-1(3x + -7) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6

Reorder the terms:
-1(-7 + 3x) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6
(-7 * -1 + 3x * -1) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6
(7 + -3x) + -1(2x + -7) + 6 = -5(x + -8) + -1(2x + 7) + 6

Reorder the terms:
7 + -3x + -1(-7 + 2x) + 6 = -5(x + -8) + -1(2x + 7) + 6
7 + -3x + (-7 * -1 + 2x * -1) + 6 = -5(x + -8) + -1(2x + 7) + 6
7 + -3x + (7 + -2x) + 6 = -5(x + -8) + -1(2x + 7) + 6

Reorder the terms:
7 + 7 + 6 + -3x + -2x = -5(x + -8) + -1(2x + 7) + 6

Combine like terms: 7 + 7 = 14
14 + 6 + -3x + -2x = -5(x + -8) + -1(2x + 7) + 6

Combine like terms: 14 + 6 = 20
20 + -3x + -2x = -5(x + -8) + -1(2x + 7) + 6

Combine like terms: -3x + -2x = -5x
20 + -5x = -5(x + -8) + -1(2x + 7) + 6

Reorder the terms:
20 + -5x = -5(-8 + x) + -1(2x + 7) + 6
20 + -5x = (-8 * -5 + x * -5) + -1(2x + 7) + 6
20 + -5x = (40 + -5x) + -1(2x + 7) + 6

Reorder the terms:
20 + -5x = 40 + -5x + -1(7 + 2x) + 6
20 + -5x = 40 + -5x + (7 * -1 + 2x * -1) + 6
20 + -5x = 40 + -5x + (-7 + -2x) + 6

Reorder the terms:
20 + -5x = 40 + -7 + 6 + -5x + -2x

Combine like terms: 40 + -7 = 33
20 + -5x = 33 + 6 + -5x + -2x

Combine like terms: 33 + 6 = 39
20 + -5x = 39 + -5x + -2x

Combine like terms: -5x + -2x = -7x
20 + -5x = 39 + -7x

Solving
20 + -5x = 39 + -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.
20 + -5x + 7x = 39 + -7x + 7x

Combine like terms: -5x + 7x = 2x
20 + 2x = 39 + -7x + 7x

Combine like terms: -7x + 7x = 0
20 + 2x = 39 + 0
20 + 2x = 39

Add '-20' to each side of the equation.
20 + -20 + 2x = 39 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 39 + -20
2x = 39 + -20

Combine like terms: 39 + -20 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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