2(5+x)-3(6-x)=42

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Solution for 2(5+x)-3(6-x)=42 equation:


Simplifying
2(5 + x) + -3(6 + -1x) = 42
(5 * 2 + x * 2) + -3(6 + -1x) = 42
(10 + 2x) + -3(6 + -1x) = 42
10 + 2x + (6 * -3 + -1x * -3) = 42
10 + 2x + (-18 + 3x) = 42

Reorder the terms:
10 + -18 + 2x + 3x = 42

Combine like terms: 10 + -18 = -8
-8 + 2x + 3x = 42

Combine like terms: 2x + 3x = 5x
-8 + 5x = 42

Solving
-8 + 5x = 42

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 42 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 42 + 8
5x = 42 + 8

Combine like terms: 42 + 8 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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