7-3(4x+2)=6(2x+3)-17

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Solution for 7-3(4x+2)=6(2x+3)-17 equation: 


Simplifying
7 + -3(4x + 2) = 6(2x + 3) + -17

Reorder the terms:
7 + -3(2 + 4x) = 6(2x + 3) + -17
7 + (2 * -3 + 4x * -3) = 6(2x + 3) + -17
7 + (-6 + -12x) = 6(2x + 3) + -17

Combine like terms: 7 + -6 = 1
1 + -12x = 6(2x + 3) + -17

Reorder the terms:
1 + -12x = 6(3 + 2x) + -17
1 + -12x = (3 * 6 + 2x * 6) + -17
1 + -12x = (18 + 12x) + -17

Reorder the terms:
1 + -12x = 18 + -17 + 12x

Combine like terms: 18 + -17 = 1
1 + -12x = 1 + 12x

Add '-1' to each side of the equation.
1 + -1 + -12x = 1 + -1 + 12x

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

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

Solving
-12x = 12x

Solving for variable 'x'.

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

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

Combine like terms: -12x + -12x = -24x
-24x = 12x + -12x

Combine like terms: 12x + -12x = 0
-24x = 0

Divide each side by '-24'.
x = 0

Simplifying
x = 0

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