3(7x+2)+4x=15(2-3x)+16

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Solution for 3(7x+2)+4x=15(2-3x)+16 equation:


Simplifying
3(7x + 2) + 4x = 15(2 + -3x) + 16

Reorder the terms:
3(2 + 7x) + 4x = 15(2 + -3x) + 16
(2 * 3 + 7x * 3) + 4x = 15(2 + -3x) + 16
(6 + 21x) + 4x = 15(2 + -3x) + 16

Combine like terms: 21x + 4x = 25x
6 + 25x = 15(2 + -3x) + 16
6 + 25x = (2 * 15 + -3x * 15) + 16
6 + 25x = (30 + -45x) + 16

Reorder the terms:
6 + 25x = 30 + 16 + -45x

Combine like terms: 30 + 16 = 46
6 + 25x = 46 + -45x

Solving
6 + 25x = 46 + -45x

Solving for variable 'x'.

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

Add '45x' to each side of the equation.
6 + 25x + 45x = 46 + -45x + 45x

Combine like terms: 25x + 45x = 70x
6 + 70x = 46 + -45x + 45x

Combine like terms: -45x + 45x = 0
6 + 70x = 46 + 0
6 + 70x = 46

Add '-6' to each side of the equation.
6 + -6 + 70x = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 70x = 46 + -6
70x = 46 + -6

Combine like terms: 46 + -6 = 40
70x = 40

Divide each side by '70'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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