10(2x+9)=5(2x+20)

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Solution for 10(2x+9)=5(2x+20) equation:


Simplifying
10(2x + 9) = 5(2x + 20)

Reorder the terms:
10(9 + 2x) = 5(2x + 20)
(9 * 10 + 2x * 10) = 5(2x + 20)
(90 + 20x) = 5(2x + 20)

Reorder the terms:
90 + 20x = 5(20 + 2x)
90 + 20x = (20 * 5 + 2x * 5)
90 + 20x = (100 + 10x)

Solving
90 + 20x = 100 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
90 + 20x + -10x = 100 + 10x + -10x

Combine like terms: 20x + -10x = 10x
90 + 10x = 100 + 10x + -10x

Combine like terms: 10x + -10x = 0
90 + 10x = 100 + 0
90 + 10x = 100

Add '-90' to each side of the equation.
90 + -90 + 10x = 100 + -90

Combine like terms: 90 + -90 = 0
0 + 10x = 100 + -90
10x = 100 + -90

Combine like terms: 100 + -90 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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