3(x-7)-2(x+2)+9+x=-10

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Solution for 3(x-7)-2(x+2)+9+x=-10 equation:


Simplifying
3(x + -7) + -2(x + 2) + 9 + x = -10

Reorder the terms:
3(-7 + x) + -2(x + 2) + 9 + x = -10
(-7 * 3 + x * 3) + -2(x + 2) + 9 + x = -10
(-21 + 3x) + -2(x + 2) + 9 + x = -10

Reorder the terms:
-21 + 3x + -2(2 + x) + 9 + x = -10
-21 + 3x + (2 * -2 + x * -2) + 9 + x = -10
-21 + 3x + (-4 + -2x) + 9 + x = -10

Reorder the terms:
-21 + -4 + 9 + 3x + -2x + x = -10

Combine like terms: -21 + -4 = -25
-25 + 9 + 3x + -2x + x = -10

Combine like terms: -25 + 9 = -16
-16 + 3x + -2x + x = -10

Combine like terms: 3x + -2x = 1x
-16 + 1x + x = -10

Combine like terms: 1x + x = 2x
-16 + 2x = -10

Solving
-16 + 2x = -10

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 2x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -10 + 16
2x = -10 + 16

Combine like terms: -10 + 16 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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