2(x-7)+3x=6

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


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

Reorder the terms:
2(-7 + x) + 3x = 6
(-7 * 2 + x * 2) + 3x = 6
(-14 + 2x) + 3x = 6

Combine like terms: 2x + 3x = 5x
-14 + 5x = 6

Solving
-14 + 5x = 6

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 5x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 6 + 14
5x = 6 + 14

Combine like terms: 6 + 14 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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