3(2x+1)=6+7-4x

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Solution for 3(2x+1)=6+7-4x equation:


Simplifying
3(2x + 1) = 6 + 7 + -4x

Reorder the terms:
3(1 + 2x) = 6 + 7 + -4x
(1 * 3 + 2x * 3) = 6 + 7 + -4x
(3 + 6x) = 6 + 7 + -4x

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

Solving
3 + 6x = 13 + -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.
3 + 6x + 4x = 13 + -4x + 4x

Combine like terms: 6x + 4x = 10x
3 + 10x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 10x = 13 + 0
3 + 10x = 13

Add '-3' to each side of the equation.
3 + -3 + 10x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 13 + -3
10x = 13 + -3

Combine like terms: 13 + -3 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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