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

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


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

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

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

Reorder the terms:
3 + 4 + 6x + -1x = 2

Combine like terms: 3 + 4 = 7
7 + 6x + -1x = 2

Combine like terms: 6x + -1x = 5x
7 + 5x = 2

Solving
7 + 5x = 2

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 2 + -7
5x = 2 + -7

Combine like terms: 2 + -7 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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