3(4x+1)=4x-7x

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Solution for 3(4x+1)=4x-7x equation:


Simplifying
3(4x + 1) = 4x + -7x

Reorder the terms:
3(1 + 4x) = 4x + -7x
(1 * 3 + 4x * 3) = 4x + -7x
(3 + 12x) = 4x + -7x

Combine like terms: 4x + -7x = -3x
3 + 12x = -3x

Solving
3 + 12x = -3x

Solving for variable 'x'.

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

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

Combine like terms: 12x + 3x = 15x
3 + 15x = -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 15x = 0

Add '-3' to each side of the equation.
3 + -3 + 15x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 15x = 0 + -3
15x = 0 + -3

Combine like terms: 0 + -3 = -3
15x = -3

Divide each side by '15'.
x = -0.2

Simplifying
x = -0.2

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