[x+3(x-4)]=x-1

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


Simplifying
[x + 3(x + -4)] = x + -1

Reorder the terms:
[x + 3(-4 + x)] = x + -1
[x + (-4 * 3 + x * 3)] = x + -1
[x + (-12 + 3x)] = x + -1

Reorder the terms:
[-12 + x + 3x] = x + -1

Combine like terms: x + 3x = 4x
[-12 + 4x] = x + -1

Remove brackets around [-12 + 4x]
-12 + 4x = x + -1

Reorder the terms:
-12 + 4x = -1 + x

Solving
-12 + 4x = -1 + x

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.
-12 + 4x + -1x = -1 + x + -1x

Combine like terms: 4x + -1x = 3x
-12 + 3x = -1 + x + -1x

Combine like terms: x + -1x = 0
-12 + 3x = -1 + 0
-12 + 3x = -1

Add '12' to each side of the equation.
-12 + 12 + 3x = -1 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -1 + 12
3x = -1 + 12

Combine like terms: -1 + 12 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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