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

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


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

Reorder the terms:
2(7 + 3x) + 6 = 7(5x + -3) + 2
(7 * 2 + 3x * 2) + 6 = 7(5x + -3) + 2
(14 + 6x) + 6 = 7(5x + -3) + 2

Reorder the terms:
14 + 6 + 6x = 7(5x + -3) + 2

Combine like terms: 14 + 6 = 20
20 + 6x = 7(5x + -3) + 2

Reorder the terms:
20 + 6x = 7(-3 + 5x) + 2
20 + 6x = (-3 * 7 + 5x * 7) + 2
20 + 6x = (-21 + 35x) + 2

Reorder the terms:
20 + 6x = -21 + 2 + 35x

Combine like terms: -21 + 2 = -19
20 + 6x = -19 + 35x

Solving
20 + 6x = -19 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
20 + 6x + -35x = -19 + 35x + -35x

Combine like terms: 6x + -35x = -29x
20 + -29x = -19 + 35x + -35x

Combine like terms: 35x + -35x = 0
20 + -29x = -19 + 0
20 + -29x = -19

Add '-20' to each side of the equation.
20 + -20 + -29x = -19 + -20

Combine like terms: 20 + -20 = 0
0 + -29x = -19 + -20
-29x = -19 + -20

Combine like terms: -19 + -20 = -39
-29x = -39

Divide each side by '-29'.
x = 1.344827586

Simplifying
x = 1.344827586

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