8x-(6x-9)+(3x-2)=4-(7x-8)

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Solution for 8x-(6x-9)+(3x-2)=4-(7x-8) equation:


Simplifying
8x + -1(6x + -9) + (3x + -2) = 4 + -1(7x + -8)

Reorder the terms:
8x + -1(-9 + 6x) + (3x + -2) = 4 + -1(7x + -8)
8x + (-9 * -1 + 6x * -1) + (3x + -2) = 4 + -1(7x + -8)
8x + (9 + -6x) + (3x + -2) = 4 + -1(7x + -8)

Reorder the terms:
8x + 9 + -6x + (-2 + 3x) = 4 + -1(7x + -8)

Remove parenthesis around (-2 + 3x)
8x + 9 + -6x + -2 + 3x = 4 + -1(7x + -8)

Reorder the terms:
9 + -2 + 8x + -6x + 3x = 4 + -1(7x + -8)

Combine like terms: 9 + -2 = 7
7 + 8x + -6x + 3x = 4 + -1(7x + -8)

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

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

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

Combine like terms: 4 + 8 = 12
7 + 5x = 12 + -7x

Solving
7 + 5x = 12 + -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.
7 + 5x + 7x = 12 + -7x + 7x

Combine like terms: 5x + 7x = 12x
7 + 12x = 12 + -7x + 7x

Combine like terms: -7x + 7x = 0
7 + 12x = 12 + 0
7 + 12x = 12

Add '-7' to each side of the equation.
7 + -7 + 12x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 12x = 12 + -7
12x = 12 + -7

Combine like terms: 12 + -7 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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