3x-2+4(x+3)=x

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


Simplifying
3x + -2 + 4(x + 3) = x

Reorder the terms:
3x + -2 + 4(3 + x) = x
3x + -2 + (3 * 4 + x * 4) = x
3x + -2 + (12 + 4x) = x

Reorder the terms:
-2 + 12 + 3x + 4x = x

Combine like terms: -2 + 12 = 10
10 + 3x + 4x = x

Combine like terms: 3x + 4x = 7x
10 + 7x = x

Solving
10 + 7x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 7x + -1x = x + -1x

Combine like terms: 7x + -1x = 6x
10 + 6x = x + -1x

Combine like terms: x + -1x = 0
10 + 6x = 0

Add '-10' to each side of the equation.
10 + -10 + 6x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 0 + -10
6x = 0 + -10

Combine like terms: 0 + -10 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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