3(x-5)-3(3x-6)=-5+(3x-7)

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


Simplifying
3(x + -5) + -3(3x + -6) = -5 + (3x + -7)

Reorder the terms:
3(-5 + x) + -3(3x + -6) = -5 + (3x + -7)
(-5 * 3 + x * 3) + -3(3x + -6) = -5 + (3x + -7)
(-15 + 3x) + -3(3x + -6) = -5 + (3x + -7)

Reorder the terms:
-15 + 3x + -3(-6 + 3x) = -5 + (3x + -7)
-15 + 3x + (-6 * -3 + 3x * -3) = -5 + (3x + -7)
-15 + 3x + (18 + -9x) = -5 + (3x + -7)

Reorder the terms:
-15 + 18 + 3x + -9x = -5 + (3x + -7)

Combine like terms: -15 + 18 = 3
3 + 3x + -9x = -5 + (3x + -7)

Combine like terms: 3x + -9x = -6x
3 + -6x = -5 + (3x + -7)

Reorder the terms:
3 + -6x = -5 + (-7 + 3x)

Remove parenthesis around (-7 + 3x)
3 + -6x = -5 + -7 + 3x

Combine like terms: -5 + -7 = -12
3 + -6x = -12 + 3x

Solving
3 + -6x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + -6x + -3x = -12 + 3x + -3x

Combine like terms: -6x + -3x = -9x
3 + -9x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -9x = -12 + 0
3 + -9x = -12

Add '-3' to each side of the equation.
3 + -3 + -9x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -12 + -3
-9x = -12 + -3

Combine like terms: -12 + -3 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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