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

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


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

Reorder the terms:
2(3 + x) + -1(5x + 3) = 10
(3 * 2 + x * 2) + -1(5x + 3) = 10
(6 + 2x) + -1(5x + 3) = 10

Reorder the terms:
6 + 2x + -1(3 + 5x) = 10
6 + 2x + (3 * -1 + 5x * -1) = 10
6 + 2x + (-3 + -5x) = 10

Reorder the terms:
6 + -3 + 2x + -5x = 10

Combine like terms: 6 + -3 = 3
3 + 2x + -5x = 10

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

Solving
3 + -3x = 10

Solving for variable 'x'.

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

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

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

Combine like terms: 10 + -3 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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