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

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


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

Reorder the terms:
2(5 + 4x) = 2(x + 4)
(5 * 2 + 4x * 2) = 2(x + 4)
(10 + 8x) = 2(x + 4)

Reorder the terms:
10 + 8x = 2(4 + x)
10 + 8x = (4 * 2 + x * 2)
10 + 8x = (8 + 2x)

Solving
10 + 8x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 8x + -2x = 8 + 2x + -2x

Combine like terms: 8x + -2x = 6x
10 + 6x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 6x = 8 + 0
10 + 6x = 8

Add '-10' to each side of the equation.
10 + -10 + 6x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 8 + -10
6x = 8 + -10

Combine like terms: 8 + -10 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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