2(x+4)=3(x+9)-10

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Solution for 2(x+4)=3(x+9)-10 equation:


Simplifying
2(x + 4) = 3(x + 9) + -10

Reorder the terms:
2(4 + x) = 3(x + 9) + -10
(4 * 2 + x * 2) = 3(x + 9) + -10
(8 + 2x) = 3(x + 9) + -10

Reorder the terms:
8 + 2x = 3(9 + x) + -10
8 + 2x = (9 * 3 + x * 3) + -10
8 + 2x = (27 + 3x) + -10

Reorder the terms:
8 + 2x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
8 + 2x = 17 + 3x

Solving
8 + 2x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 2x + -3x = 17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 17 + 0
8 + -1x = 17

Add '-8' to each side of the equation.
8 + -8 + -1x = 17 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 17 + -8
-1x = 17 + -8

Combine like terms: 17 + -8 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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