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

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Solution for 7(x+4)-3(x+2)=x+1 equation: 


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

Reorder the terms:
7(4 + x) + -3(x + 2) = x + 1
(4 * 7 + x * 7) + -3(x + 2) = x + 1
(28 + 7x) + -3(x + 2) = x + 1

Reorder the terms:
28 + 7x + -3(2 + x) = x + 1
28 + 7x + (2 * -3 + x * -3) = x + 1
28 + 7x + (-6 + -3x) = x + 1

Reorder the terms:
28 + -6 + 7x + -3x = x + 1

Combine like terms: 28 + -6 = 22
22 + 7x + -3x = x + 1

Combine like terms: 7x + -3x = 4x
22 + 4x = x + 1

Reorder the terms:
22 + 4x = 1 + x

Solving
22 + 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.
22 + 4x + -1x = 1 + x + -1x

Combine like terms: 4x + -1x = 3x
22 + 3x = 1 + x + -1x

Combine like terms: x + -1x = 0
22 + 3x = 1 + 0
22 + 3x = 1

Add '-22' to each side of the equation.
22 + -22 + 3x = 1 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = 1 + -22
3x = 1 + -22

Combine like terms: 1 + -22 = -21
3x = -21

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

Simplifying
x = -7

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