3x+2(x+5)=2x-9

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Solution for 3x+2(x+5)=2x-9 equation:


Simplifying
3x + 2(x + 5) = 2x + -9

Reorder the terms:
3x + 2(5 + x) = 2x + -9
3x + (5 * 2 + x * 2) = 2x + -9
3x + (10 + 2x) = 2x + -9

Reorder the terms:
10 + 3x + 2x = 2x + -9

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

Reorder the terms:
10 + 5x = -9 + 2x

Solving
10 + 5x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 5x + -2x = -9 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
10 + 3x = -9 + 0
10 + 3x = -9

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

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

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

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

Simplifying
x = -6.333333333

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