7x+1=4(x-5)

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Solution for 7x+1=4(x-5) equation: 


Simplifying
7x + 1 = 4(x + -5)

Reorder the terms:
1 + 7x = 4(x + -5)

Reorder the terms:
1 + 7x = 4(-5 + x)
1 + 7x = (-5 * 4 + x * 4)
1 + 7x = (-20 + 4x)

Solving
1 + 7x = -20 + 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.
1 + 7x + -4x = -20 + 4x + -4x

Combine like terms: 7x + -4x = 3x
1 + 3x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 3x = -20 + 0
1 + 3x = -20

Add '-1' to each side of the equation.
1 + -1 + 3x = -20 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -20 + -1
3x = -20 + -1

Combine like terms: -20 + -1 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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