3(2x+1)=7(5-x)-6

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Solution for 3(2x+1)=7(5-x)-6 equation:


Simplifying
3(2x + 1) = 7(5 + -1x) + -6

Reorder the terms:
3(1 + 2x) = 7(5 + -1x) + -6
(1 * 3 + 2x * 3) = 7(5 + -1x) + -6
(3 + 6x) = 7(5 + -1x) + -6
3 + 6x = (5 * 7 + -1x * 7) + -6
3 + 6x = (35 + -7x) + -6

Reorder the terms:
3 + 6x = 35 + -6 + -7x

Combine like terms: 35 + -6 = 29
3 + 6x = 29 + -7x

Solving
3 + 6x = 29 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
3 + 6x + 7x = 29 + -7x + 7x

Combine like terms: 6x + 7x = 13x
3 + 13x = 29 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + 13x = 29 + 0
3 + 13x = 29

Add '-3' to each side of the equation.
3 + -3 + 13x = 29 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = 29 + -3
13x = 29 + -3

Combine like terms: 29 + -3 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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