2*(5x+4)=5*(x+1)

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Solution for 2*(5x+4)=5*(x+1) equation:


Simplifying
2(5x + 4) = 5(x + 1)

Reorder the terms:
2(4 + 5x) = 5(x + 1)
(4 * 2 + 5x * 2) = 5(x + 1)
(8 + 10x) = 5(x + 1)

Reorder the terms:
8 + 10x = 5(1 + x)
8 + 10x = (1 * 5 + x * 5)
8 + 10x = (5 + 5x)

Solving
8 + 10x = 5 + 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 + 10x + -5x = 5 + 5x + -5x

Combine like terms: 10x + -5x = 5x
8 + 5x = 5 + 5x + -5x

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 5 + -8

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

Combine like terms: 5 + -8 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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