3(4x+7)=5x+6

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Solution for 3(4x+7)=5x+6 equation:


Simplifying
3(4x + 7) = 5x + 6

Reorder the terms:
3(7 + 4x) = 5x + 6
(7 * 3 + 4x * 3) = 5x + 6
(21 + 12x) = 5x + 6

Reorder the terms:
21 + 12x = 6 + 5x

Solving
21 + 12x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
21 + 12x + -5x = 6 + 5x + -5x

Combine like terms: 12x + -5x = 7x
21 + 7x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + 7x = 6 + 0
21 + 7x = 6

Add '-21' to each side of the equation.
21 + -21 + 7x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + 7x = 6 + -21
7x = 6 + -21

Combine like terms: 6 + -21 = -15
7x = -15

Divide each side by '7'.
x = -2.142857143

Simplifying
x = -2.142857143

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