6x-4=5(x+4)+6

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Solution for 6x-4=5(x+4)+6 equation:


Simplifying
6x + -4 = 5(x + 4) + 6

Reorder the terms:
-4 + 6x = 5(x + 4) + 6

Reorder the terms:
-4 + 6x = 5(4 + x) + 6
-4 + 6x = (4 * 5 + x * 5) + 6
-4 + 6x = (20 + 5x) + 6

Reorder the terms:
-4 + 6x = 20 + 6 + 5x

Combine like terms: 20 + 6 = 26
-4 + 6x = 26 + 5x

Solving
-4 + 6x = 26 + 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.
-4 + 6x + -5x = 26 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-4 + 1x = 26 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 1x = 26 + 0
-4 + 1x = 26

Add '4' to each side of the equation.
-4 + 4 + 1x = 26 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 26 + 4
1x = 26 + 4

Combine like terms: 26 + 4 = 30
1x = 30

Divide each side by '1'.
x = 30

Simplifying
x = 30

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