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

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


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

Reorder the terms:
2(9 + x) + -3(x + 4) = -10
(9 * 2 + x * 2) + -3(x + 4) = -10
(18 + 2x) + -3(x + 4) = -10

Reorder the terms:
18 + 2x + -3(4 + x) = -10
18 + 2x + (4 * -3 + x * -3) = -10
18 + 2x + (-12 + -3x) = -10

Reorder the terms:
18 + -12 + 2x + -3x = -10

Combine like terms: 18 + -12 = 6
6 + 2x + -3x = -10

Combine like terms: 2x + -3x = -1x
6 + -1x = -10

Solving
6 + -1x = -10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -10 + -6
-1x = -10 + -6

Combine like terms: -10 + -6 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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