2(x+3)+3(x-10)=28

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Solution for 2(x+3)+3(x-10)=28 equation:


Simplifying
2(x + 3) + 3(x + -10) = 28

Reorder the terms:
2(3 + x) + 3(x + -10) = 28
(3 * 2 + x * 2) + 3(x + -10) = 28
(6 + 2x) + 3(x + -10) = 28

Reorder the terms:
6 + 2x + 3(-10 + x) = 28
6 + 2x + (-10 * 3 + x * 3) = 28
6 + 2x + (-30 + 3x) = 28

Reorder the terms:
6 + -30 + 2x + 3x = 28

Combine like terms: 6 + -30 = -24
-24 + 2x + 3x = 28

Combine like terms: 2x + 3x = 5x
-24 + 5x = 28

Solving
-24 + 5x = 28

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 5x = 28 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 28 + 24
5x = 28 + 24

Combine like terms: 28 + 24 = 52
5x = 52

Divide each side by '5'.
x = 10.4

Simplifying
x = 10.4

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