-6(4x-2)=5x-17

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Solution for -6(4x-2)=5x-17 equation:


Simplifying
-6(4x + -2) = 5x + -17

Reorder the terms:
-6(-2 + 4x) = 5x + -17
(-2 * -6 + 4x * -6) = 5x + -17
(12 + -24x) = 5x + -17

Reorder the terms:
12 + -24x = -17 + 5x

Solving
12 + -24x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -24x + -5x = -17 + 5x + -5x

Combine like terms: -24x + -5x = -29x
12 + -29x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -29x = -17 + 0
12 + -29x = -17

Add '-12' to each side of the equation.
12 + -12 + -29x = -17 + -12

Combine like terms: 12 + -12 = 0
0 + -29x = -17 + -12
-29x = -17 + -12

Combine like terms: -17 + -12 = -29
-29x = -29

Divide each side by '-29'.
x = 1

Simplifying
x = 1

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