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 = -9
-9 + 2x + -5x = 10

Combine like terms: 2x + -5x = -3x
-9 + -3x = 10

Solving
-9 + -3x = 10

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -3x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 10 + 9
-3x = 10 + 9

Combine like terms: 10 + 9 = 19
-3x = 19

Divide each side by '-3'.
x = -6.333333333

Simplifying
x = -6.333333333

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