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

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


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

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

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

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

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

Combine like terms: 3x + 2x = 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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