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

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


Simplifying
3x + -4(1 + 3x) = 2x + -1(x + 1)
3x + (1 * -4 + 3x * -4) = 2x + -1(x + 1)
3x + (-4 + -12x) = 2x + -1(x + 1)

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

Combine like terms: 3x + -12x = -9x
-4 + -9x = 2x + -1(x + 1)

Reorder the terms:
-4 + -9x = 2x + -1(1 + x)
-4 + -9x = 2x + (1 * -1 + x * -1)
-4 + -9x = 2x + (-1 + -1x)

Reorder the terms:
-4 + -9x = -1 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-4 + -9x = -1 + 1x

Solving
-4 + -9x = -1 + 1x

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.
-4 + -9x + -1x = -1 + 1x + -1x

Combine like terms: -9x + -1x = -10x
-4 + -10x = -1 + 1x + -1x

Combine like terms: 1x + -1x = 0
-4 + -10x = -1 + 0
-4 + -10x = -1

Add '4' to each side of the equation.
-4 + 4 + -10x = -1 + 4

Combine like terms: -4 + 4 = 0
0 + -10x = -1 + 4
-10x = -1 + 4

Combine like terms: -1 + 4 = 3
-10x = 3

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3

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