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

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


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

Reorder the terms:
2x + -3(1 + 4x) = 6 + -1(2x + 1)
2x + (1 * -3 + 4x * -3) = 6 + -1(2x + 1)
2x + (-3 + -12x) = 6 + -1(2x + 1)

Reorder the terms:
-3 + 2x + -12x = 6 + -1(2x + 1)

Combine like terms: 2x + -12x = -10x
-3 + -10x = 6 + -1(2x + 1)

Reorder the terms:
-3 + -10x = 6 + -1(1 + 2x)
-3 + -10x = 6 + (1 * -1 + 2x * -1)
-3 + -10x = 6 + (-1 + -2x)

Combine like terms: 6 + -1 = 5
-3 + -10x = 5 + -2x

Solving
-3 + -10x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + -10x + 2x = 5 + -2x + 2x

Combine like terms: -10x + 2x = -8x
-3 + -8x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + -8x = 5 + 0
-3 + -8x = 5

Add '3' to each side of the equation.
-3 + 3 + -8x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = 5 + 3
-8x = 5 + 3

Combine like terms: 5 + 3 = 8
-8x = 8

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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