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

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Solution for 10(x+1)=4(2x+5) equation: 


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

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

Reorder the terms:
10 + 10x = 4(5 + 2x)
10 + 10x = (5 * 4 + 2x * 4)
10 + 10x = (20 + 8x)

Solving
10 + 10x = 20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10 + 10x + -8x = 20 + 8x + -8x

Combine like terms: 10x + -8x = 2x
10 + 2x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + 2x = 20 + 0
10 + 2x = 20

Add '-10' to each side of the equation.
10 + -10 + 2x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 20 + -10
2x = 20 + -10

Combine like terms: 20 + -10 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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