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

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


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

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

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

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

Combine like terms: 4 + 7 = 11
5 + x = 11 + 4x

Solving
5 + x = 11 + 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 + x + -4x = 11 + 4x + -4x

Combine like terms: x + -4x = -3x
5 + -3x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -3x = 11 + 0
5 + -3x = 11

Add '-5' to each side of the equation.
5 + -5 + -3x = 11 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 11 + -5
-3x = 11 + -5

Combine like terms: 11 + -5 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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