3(x-3)-7(2x-8)-(x-1)=0

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


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

Reorder the terms:
3(-3 + x) + -7(2x + -8) + -1(x + -1) = 0
(-3 * 3 + x * 3) + -7(2x + -8) + -1(x + -1) = 0
(-9 + 3x) + -7(2x + -8) + -1(x + -1) = 0

Reorder the terms:
-9 + 3x + -7(-8 + 2x) + -1(x + -1) = 0
-9 + 3x + (-8 * -7 + 2x * -7) + -1(x + -1) = 0
-9 + 3x + (56 + -14x) + -1(x + -1) = 0

Reorder the terms:
-9 + 3x + 56 + -14x + -1(-1 + x) = 0
-9 + 3x + 56 + -14x + (-1 * -1 + x * -1) = 0
-9 + 3x + 56 + -14x + (1 + -1x) = 0

Reorder the terms:
-9 + 56 + 1 + 3x + -14x + -1x = 0

Combine like terms: -9 + 56 = 47
47 + 1 + 3x + -14x + -1x = 0

Combine like terms: 47 + 1 = 48
48 + 3x + -14x + -1x = 0

Combine like terms: 3x + -14x = -11x
48 + -11x + -1x = 0

Combine like terms: -11x + -1x = -12x
48 + -12x = 0

Solving
48 + -12x = 0

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + -12x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -12x = 0 + -48
-12x = 0 + -48

Combine like terms: 0 + -48 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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