3(x+4)+2(-3x+1)=-10

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Solution for 3(x+4)+2(-3x+1)=-10 equation: 


Simplifying
3(x + 4) + 2(-3x + 1) = -10

Reorder the terms:
3(4 + x) + 2(-3x + 1) = -10
(4 * 3 + x * 3) + 2(-3x + 1) = -10
(12 + 3x) + 2(-3x + 1) = -10

Reorder the terms:
12 + 3x + 2(1 + -3x) = -10
12 + 3x + (1 * 2 + -3x * 2) = -10
12 + 3x + (2 + -6x) = -10

Reorder the terms:
12 + 2 + 3x + -6x = -10

Combine like terms: 12 + 2 = 14
14 + 3x + -6x = -10

Combine like terms: 3x + -6x = -3x
14 + -3x = -10

Solving
14 + -3x = -10

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -3x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -10 + -14
-3x = -10 + -14

Combine like terms: -10 + -14 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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