23-3(x+1)+5(6x-7)-7(3x-4)=0

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Solution for 23-3(x+1)+5(6x-7)-7(3x-4)=0 equation:


Simplifying
23 + -3(x + 1) + 5(6x + -7) + -7(3x + -4) = 0

Reorder the terms:
23 + -3(1 + x) + 5(6x + -7) + -7(3x + -4) = 0
23 + (1 * -3 + x * -3) + 5(6x + -7) + -7(3x + -4) = 0
23 + (-3 + -3x) + 5(6x + -7) + -7(3x + -4) = 0

Reorder the terms:
23 + -3 + -3x + 5(-7 + 6x) + -7(3x + -4) = 0
23 + -3 + -3x + (-7 * 5 + 6x * 5) + -7(3x + -4) = 0
23 + -3 + -3x + (-35 + 30x) + -7(3x + -4) = 0

Reorder the terms:
23 + -3 + -3x + -35 + 30x + -7(-4 + 3x) = 0
23 + -3 + -3x + -35 + 30x + (-4 * -7 + 3x * -7) = 0
23 + -3 + -3x + -35 + 30x + (28 + -21x) = 0

Reorder the terms:
23 + -3 + -35 + 28 + -3x + 30x + -21x = 0

Combine like terms: 23 + -3 = 20
20 + -35 + 28 + -3x + 30x + -21x = 0

Combine like terms: 20 + -35 = -15
-15 + 28 + -3x + 30x + -21x = 0

Combine like terms: -15 + 28 = 13
13 + -3x + 30x + -21x = 0

Combine like terms: -3x + 30x = 27x
13 + 27x + -21x = 0

Combine like terms: 27x + -21x = 6x
13 + 6x = 0

Solving
13 + 6x = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 6x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6x = 0 + -13
6x = 0 + -13

Combine like terms: 0 + -13 = -13
6x = -13

Divide each side by '6'.
x = -2.166666667

Simplifying
x = -2.166666667

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