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

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


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

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

Reorder the terms:
20 + 8x = 5(10 + x)
20 + 8x = (10 * 5 + x * 5)
20 + 8x = (50 + 5x)

Solving
20 + 8x = 50 + 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.
20 + 8x + -5x = 50 + 5x + -5x

Combine like terms: 8x + -5x = 3x
20 + 3x = 50 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 3x = 50 + 0
20 + 3x = 50

Add '-20' to each side of the equation.
20 + -20 + 3x = 50 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 50 + -20
3x = 50 + -20

Combine like terms: 50 + -20 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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