4(x+2)=5(x+6)+2

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Solution for 4(x+2)=5(x+6)+2 equation:


Simplifying
4(x + 2) = 5(x + 6) + 2

Reorder the terms:
4(2 + x) = 5(x + 6) + 2
(2 * 4 + x * 4) = 5(x + 6) + 2
(8 + 4x) = 5(x + 6) + 2

Reorder the terms:
8 + 4x = 5(6 + x) + 2
8 + 4x = (6 * 5 + x * 5) + 2
8 + 4x = (30 + 5x) + 2

Reorder the terms:
8 + 4x = 30 + 2 + 5x

Combine like terms: 30 + 2 = 32
8 + 4x = 32 + 5x

Solving
8 + 4x = 32 + 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.
8 + 4x + -5x = 32 + 5x + -5x

Combine like terms: 4x + -5x = -1x
8 + -1x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -1x = 32 + 0
8 + -1x = 32

Add '-8' to each side of the equation.
8 + -8 + -1x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 32 + -8
-1x = 32 + -8

Combine like terms: 32 + -8 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24

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