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

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


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

Reorder the terms:
3(-2 + x) + -4(x + 3) = -10
(-2 * 3 + x * 3) + -4(x + 3) = -10
(-6 + 3x) + -4(x + 3) = -10

Reorder the terms:
-6 + 3x + -4(3 + x) = -10
-6 + 3x + (3 * -4 + x * -4) = -10
-6 + 3x + (-12 + -4x) = -10

Reorder the terms:
-6 + -12 + 3x + -4x = -10

Combine like terms: -6 + -12 = -18
-18 + 3x + -4x = -10

Combine like terms: 3x + -4x = -1x
-18 + -1x = -10

Solving
-18 + -1x = -10

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -1x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -10 + 18
-1x = -10 + 18

Combine like terms: -10 + 18 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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