4[x+2]+4=5[x+1]+4

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Solution for 4[x+2]+4=5[x+1]+4 equation:


Simplifying
4[x + 2] + 4 = 5[x + 1] + 4

Reorder the terms:
4[2 + x] + 4 = 5[x + 1] + 4
[2 * 4 + x * 4] + 4 = 5[x + 1] + 4
[8 + 4x] + 4 = 5[x + 1] + 4

Reorder the terms:
8 + 4 + 4x = 5[x + 1] + 4

Combine like terms: 8 + 4 = 12
12 + 4x = 5[x + 1] + 4

Reorder the terms:
12 + 4x = 5[1 + x] + 4
12 + 4x = [1 * 5 + x * 5] + 4
12 + 4x = [5 + 5x] + 4

Reorder the terms:
12 + 4x = 5 + 4 + 5x

Combine like terms: 5 + 4 = 9
12 + 4x = 9 + 5x

Solving
12 + 4x = 9 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
12 + 4x + -5x = 9 + 5x + -5x

Combine like terms: 4x + -5x = -1x
12 + -1x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -1x = 9 + 0
12 + -1x = 9

Add '-12' to each side of the equation.
12 + -12 + -1x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 9 + -12
-1x = 9 + -12

Combine like terms: 9 + -12 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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