-(4x-7)-(3x-5)+2=-8(x-5)-(3x+3)+6

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Solution for -(4x-7)-(3x-5)+2=-8(x-5)-(3x+3)+6 equation: 


Simplifying
-1(4x + -7) + -1(3x + -5) + 2 = -8(x + -5) + -1(3x + 3) + 6

Reorder the terms:
-1(-7 + 4x) + -1(3x + -5) + 2 = -8(x + -5) + -1(3x + 3) + 6
(-7 * -1 + 4x * -1) + -1(3x + -5) + 2 = -8(x + -5) + -1(3x + 3) + 6
(7 + -4x) + -1(3x + -5) + 2 = -8(x + -5) + -1(3x + 3) + 6

Reorder the terms:
7 + -4x + -1(-5 + 3x) + 2 = -8(x + -5) + -1(3x + 3) + 6
7 + -4x + (-5 * -1 + 3x * -1) + 2 = -8(x + -5) + -1(3x + 3) + 6
7 + -4x + (5 + -3x) + 2 = -8(x + -5) + -1(3x + 3) + 6

Reorder the terms:
7 + 5 + 2 + -4x + -3x = -8(x + -5) + -1(3x + 3) + 6

Combine like terms: 7 + 5 = 12
12 + 2 + -4x + -3x = -8(x + -5) + -1(3x + 3) + 6

Combine like terms: 12 + 2 = 14
14 + -4x + -3x = -8(x + -5) + -1(3x + 3) + 6

Combine like terms: -4x + -3x = -7x
14 + -7x = -8(x + -5) + -1(3x + 3) + 6

Reorder the terms:
14 + -7x = -8(-5 + x) + -1(3x + 3) + 6
14 + -7x = (-5 * -8 + x * -8) + -1(3x + 3) + 6
14 + -7x = (40 + -8x) + -1(3x + 3) + 6

Reorder the terms:
14 + -7x = 40 + -8x + -1(3 + 3x) + 6
14 + -7x = 40 + -8x + (3 * -1 + 3x * -1) + 6
14 + -7x = 40 + -8x + (-3 + -3x) + 6

Reorder the terms:
14 + -7x = 40 + -3 + 6 + -8x + -3x

Combine like terms: 40 + -3 = 37
14 + -7x = 37 + 6 + -8x + -3x

Combine like terms: 37 + 6 = 43
14 + -7x = 43 + -8x + -3x

Combine like terms: -8x + -3x = -11x
14 + -7x = 43 + -11x

Solving
14 + -7x = 43 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
14 + -7x + 11x = 43 + -11x + 11x

Combine like terms: -7x + 11x = 4x
14 + 4x = 43 + -11x + 11x

Combine like terms: -11x + 11x = 0
14 + 4x = 43 + 0
14 + 4x = 43

Add '-14' to each side of the equation.
14 + -14 + 4x = 43 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 43 + -14
4x = 43 + -14

Combine like terms: 43 + -14 = 29
4x = 29

Divide each side by '4'.
x = 7.25

Simplifying
x = 7.25

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