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

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


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

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

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

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

Combine like terms: 4 + -3 = 1
1 + -2x + -3x = 10

Combine like terms: -2x + -3x = -5x
1 + -5x = 10

Solving
1 + -5x = 10

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 10 + -1
-5x = 10 + -1

Combine like terms: 10 + -1 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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