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

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


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

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

Reorder the terms:
-12 + 6 + 4x = -4x + 2x + -17

Combine like terms: -12 + 6 = -6
-6 + 4x = -4x + 2x + -17

Reorder the terms:
-6 + 4x = -17 + -4x + 2x

Combine like terms: -4x + 2x = -2x
-6 + 4x = -17 + -2x

Solving
-6 + 4x = -17 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 4x + 2x = -17 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-6 + 6x = -17 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 6x = -17 + 0
-6 + 6x = -17

Add '6' to each side of the equation.
-6 + 6 + 6x = -17 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = -17 + 6
6x = -17 + 6

Combine like terms: -17 + 6 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333

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