3(x-5)-2(x+1)=15

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Solution for 3(x-5)-2(x+1)=15 equation: 


Simplifying
3(x + -5) + -2(x + 1) = 15

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

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

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

Combine like terms: -15 + -2 = -17
-17 + 3x + -2x = 15

Combine like terms: 3x + -2x = 1x
-17 + 1x = 15

Solving
-17 + 1x = 15

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 + 1x = 15 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = 15 + 17
1x = 15 + 17

Combine like terms: 15 + 17 = 32
1x = 32

Divide each side by '1'.
x = 32

Simplifying
x = 32

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