5[x+1]-6=4[x+1]+9

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Solution for 5[x+1]-6=4[x+1]+9 equation:


Simplifying
5[x + 1] + -6 = 4[x + 1] + 9

Reorder the terms:
5[1 + x] + -6 = 4[x + 1] + 9
[1 * 5 + x * 5] + -6 = 4[x + 1] + 9
[5 + 5x] + -6 = 4[x + 1] + 9

Reorder the terms:
5 + -6 + 5x = 4[x + 1] + 9

Combine like terms: 5 + -6 = -1
-1 + 5x = 4[x + 1] + 9

Reorder the terms:
-1 + 5x = 4[1 + x] + 9
-1 + 5x = [1 * 4 + x * 4] + 9
-1 + 5x = [4 + 4x] + 9

Reorder the terms:
-1 + 5x = 4 + 9 + 4x

Combine like terms: 4 + 9 = 13
-1 + 5x = 13 + 4x

Solving
-1 + 5x = 13 + 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 + 5x + -4x = 13 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-1 + 1x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + 1x = 13 + 0
-1 + 1x = 13

Add '1' to each side of the equation.
-1 + 1 + 1x = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 13 + 1
1x = 13 + 1

Combine like terms: 13 + 1 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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