6x+7-19=7x+13-3x-17

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Solution for 6x+7-19=7x+13-3x-17 equation:


Simplifying
6x + 7 + -19 = 7x + 13 + -3x + -17

Reorder the terms:
7 + -19 + 6x = 7x + 13 + -3x + -17

Combine like terms: 7 + -19 = -12
-12 + 6x = 7x + 13 + -3x + -17

Reorder the terms:
-12 + 6x = 13 + -17 + 7x + -3x

Combine like terms: 13 + -17 = -4
-12 + 6x = -4 + 7x + -3x

Combine like terms: 7x + -3x = 4x
-12 + 6x = -4 + 4x

Solving
-12 + 6x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 6x + -4x = -4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-12 + 2x = -4 + 0
-12 + 2x = -4

Add '12' to each side of the equation.
-12 + 12 + 2x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -4 + 12
2x = -4 + 12

Combine like terms: -4 + 12 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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