-6x+7(3x-5)=-17-3x

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Solution for -6x+7(3x-5)=-17-3x equation:


Simplifying
-6x + 7(3x + -5) = -17 + -3x

Reorder the terms:
-6x + 7(-5 + 3x) = -17 + -3x
-6x + (-5 * 7 + 3x * 7) = -17 + -3x
-6x + (-35 + 21x) = -17 + -3x

Reorder the terms:
-35 + -6x + 21x = -17 + -3x

Combine like terms: -6x + 21x = 15x
-35 + 15x = -17 + -3x

Solving
-35 + 15x = -17 + -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.
-35 + 15x + 3x = -17 + -3x + 3x

Combine like terms: 15x + 3x = 18x
-35 + 18x = -17 + -3x + 3x

Combine like terms: -3x + 3x = 0
-35 + 18x = -17 + 0
-35 + 18x = -17

Add '35' to each side of the equation.
-35 + 35 + 18x = -17 + 35

Combine like terms: -35 + 35 = 0
0 + 18x = -17 + 35
18x = -17 + 35

Combine like terms: -17 + 35 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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