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

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


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

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

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

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

Combine like terms: -2 + -2 = -4
-4 + 6x + -1x = 4(x + 1)

Combine like terms: 6x + -1x = 5x
-4 + 5x = 4(x + 1)

Reorder the terms:
-4 + 5x = 4(1 + x)
-4 + 5x = (1 * 4 + x * 4)
-4 + 5x = (4 + 4x)

Solving
-4 + 5x = 4 + 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.
-4 + 5x + -4x = 4 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-4 + 1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 1x = 4 + 0
-4 + 1x = 4

Add '4' to each side of the equation.
-4 + 4 + 1x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 4 + 4
1x = 4 + 4

Combine like terms: 4 + 4 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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