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

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


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

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

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

Combine like terms: 4 + 1 = 5
5 + 4x + (-1x) = 4x + 7

Combine like terms: 4x + (-1x) = 3x
5 + 3x = 4x + 7

Reorder the terms:
5 + 3x = 7 + 4x

Solving
5 + 3x = 7 + 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.
5 + 3x + -4x = 7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = 7 + 0
5 + -1x = 7

Add '-5' to each side of the equation.
5 + -5 + -1x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 7 + -5
-1x = 7 + -5

Combine like terms: 7 + -5 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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