2(x-3)-7-6(2x-5)+7x=0

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Solution for 2(x-3)-7-6(2x-5)+7x=0 equation: 


Simplifying
2(x + -3) + -7 + -6(2x + -5) + 7x = 0

Reorder the terms:
2(-3 + x) + -7 + -6(2x + -5) + 7x = 0
(-3 * 2 + x * 2) + -7 + -6(2x + -5) + 7x = 0
(-6 + 2x) + -7 + -6(2x + -5) + 7x = 0

Reorder the terms:
-6 + 2x + -7 + -6(-5 + 2x) + 7x = 0
-6 + 2x + -7 + (-5 * -6 + 2x * -6) + 7x = 0
-6 + 2x + -7 + (30 + -12x) + 7x = 0

Reorder the terms:
-6 + -7 + 30 + 2x + -12x + 7x = 0

Combine like terms: -6 + -7 = -13
-13 + 30 + 2x + -12x + 7x = 0

Combine like terms: -13 + 30 = 17
17 + 2x + -12x + 7x = 0

Combine like terms: 2x + -12x = -10x
17 + -10x + 7x = 0

Combine like terms: -10x + 7x = -3x
17 + -3x = 0

Solving
17 + -3x = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 0 + -17

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

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

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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