7(x+4)=4x+1

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


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

Reorder the terms:
7(4 + x) = 4x + 1
(4 * 7 + x * 7) = 4x + 1
(28 + 7x) = 4x + 1

Reorder the terms:
28 + 7x = 1 + 4x

Solving
28 + 7x = 1 + 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.
28 + 7x + -4x = 1 + 4x + -4x

Combine like terms: 7x + -4x = 3x
28 + 3x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
28 + 3x = 1 + 0
28 + 3x = 1

Add '-28' to each side of the equation.
28 + -28 + 3x = 1 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = 1 + -28
3x = 1 + -28

Combine like terms: 1 + -28 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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