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

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


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

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

Reorder the terms:
-6 + 4 + 3x = 6x + -17

Combine like terms: -6 + 4 = -2
-2 + 3x = 6x + -17

Reorder the terms:
-2 + 3x = -17 + 6x

Solving
-2 + 3x = -17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 3x + -6x = -17 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-2 + -3x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -3x = -17 + 0
-2 + -3x = -17

Add '2' to each side of the equation.
-2 + 2 + -3x = -17 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -17 + 2
-3x = -17 + 2

Combine like terms: -17 + 2 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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