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

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


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

Reorder the terms:
3(6 + x) = -2(4x + -1) + x
(6 * 3 + x * 3) = -2(4x + -1) + x
(18 + 3x) = -2(4x + -1) + x

Reorder the terms:
18 + 3x = -2(-1 + 4x) + x
18 + 3x = (-1 * -2 + 4x * -2) + x
18 + 3x = (2 + -8x) + x

Combine like terms: -8x + x = -7x
18 + 3x = 2 + -7x

Solving
18 + 3x = 2 + -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.
18 + 3x + 7x = 2 + -7x + 7x

Combine like terms: 3x + 7x = 10x
18 + 10x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
18 + 10x = 2 + 0
18 + 10x = 2

Add '-18' to each side of the equation.
18 + -18 + 10x = 2 + -18

Combine like terms: 18 + -18 = 0
0 + 10x = 2 + -18
10x = 2 + -18

Combine like terms: 2 + -18 = -16
10x = -16

Divide each side by '10'.
x = -1.6

Simplifying
x = -1.6

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