3(x-5)+2(x+1)=10

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Solution for 3(x-5)+2(x+1)=10 equation: 


Simplifying
3(x + -5) + 2(x + 1) = 10

Reorder the terms:
3(-5 + x) + 2(x + 1) = 10
(-5 * 3 + x * 3) + 2(x + 1) = 10
(-15 + 3x) + 2(x + 1) = 10

Reorder the terms:
-15 + 3x + 2(1 + x) = 10
-15 + 3x + (1 * 2 + x * 2) = 10
-15 + 3x + (2 + 2x) = 10

Reorder the terms:
-15 + 2 + 3x + 2x = 10

Combine like terms: -15 + 2 = -13
-13 + 3x + 2x = 10

Combine like terms: 3x + 2x = 5x
-13 + 5x = 10

Solving
-13 + 5x = 10

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 5x = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 10 + 13
5x = 10 + 13

Combine like terms: 10 + 13 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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