2(x+5)=3(10-x)

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Solution for 2(x+5)=3(10-x) equation: 


Simplifying
2(x + 5) = 3(10 + -1x)

Reorder the terms:
2(5 + x) = 3(10 + -1x)
(5 * 2 + x * 2) = 3(10 + -1x)
(10 + 2x) = 3(10 + -1x)
10 + 2x = (10 * 3 + -1x * 3)
10 + 2x = (30 + -3x)

Solving
10 + 2x = 30 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 2x + 3x = 30 + -3x + 3x

Combine like terms: 2x + 3x = 5x
10 + 5x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 5x = 30 + 0
10 + 5x = 30

Add '-10' to each side of the equation.
10 + -10 + 5x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 30 + -10
5x = 30 + -10

Combine like terms: 30 + -10 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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