7-1*(8-x)+2*(4-3*x)-3*(3*x-7)=0

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Solution for 7-1*(8-x)+2*(4-3*x)-3*(3*x-7)=0 equation:


Simplifying
7 + -1(8 + -1x) + 2(4 + -3x) + -3(3x + -7) = 0
7 + (8 * -1 + -1x * -1) + 2(4 + -3x) + -3(3x + -7) = 0
7 + (-8 + 1x) + 2(4 + -3x) + -3(3x + -7) = 0
7 + -8 + 1x + (4 * 2 + -3x * 2) + -3(3x + -7) = 0
7 + -8 + 1x + (8 + -6x) + -3(3x + -7) = 0

Reorder the terms:
7 + -8 + 1x + 8 + -6x + -3(-7 + 3x) = 0
7 + -8 + 1x + 8 + -6x + (-7 * -3 + 3x * -3) = 0
7 + -8 + 1x + 8 + -6x + (21 + -9x) = 0

Reorder the terms:
7 + -8 + 8 + 21 + 1x + -6x + -9x = 0

Combine like terms: 7 + -8 = -1
-1 + 8 + 21 + 1x + -6x + -9x = 0

Combine like terms: -1 + 8 = 7
7 + 21 + 1x + -6x + -9x = 0

Combine like terms: 7 + 21 = 28
28 + 1x + -6x + -9x = 0

Combine like terms: 1x + -6x = -5x
28 + -5x + -9x = 0

Combine like terms: -5x + -9x = -14x
28 + -14x = 0

Solving
28 + -14x = 0

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + -14x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -14x = 0 + -28
-14x = 0 + -28

Combine like terms: 0 + -28 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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