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 = -17
-17 + 3x + 2x = 10

Combine like terms: 3x + 2x = 5x
-17 + 5x = 10

Solving
-17 + 5x = 10

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 5x = 10 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 10 + 17
5x = 10 + 17

Combine like terms: 10 + 17 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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