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

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


Simplifying
2(5 + x) + -3(2 + -1x) = 10
(5 * 2 + x * 2) + -3(2 + -1x) = 10
(10 + 2x) + -3(2 + -1x) = 10
10 + 2x + (2 * -3 + -1x * -3) = 10
10 + 2x + (-6 + 3x) = 10

Reorder the terms:
10 + -6 + 2x + 3x = 10

Combine like terms: 10 + -6 = 4
4 + 2x + 3x = 10

Combine like terms: 2x + 3x = 5x
4 + 5x = 10

Solving
4 + 5x = 10

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 10 + -4
5x = 10 + -4

Combine like terms: 10 + -4 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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