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

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


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

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

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

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

Combine like terms: -15 + -2 = -17
-17 + 3x + -2x = 2(2x + -5) + -1(x + 1)

Combine like terms: 3x + -2x = 1x
-17 + 1x = 2(2x + -5) + -1(x + 1)

Reorder the terms:
-17 + 1x = 2(-5 + 2x) + -1(x + 1)
-17 + 1x = (-5 * 2 + 2x * 2) + -1(x + 1)
-17 + 1x = (-10 + 4x) + -1(x + 1)

Reorder the terms:
-17 + 1x = -10 + 4x + -1(1 + x)
-17 + 1x = -10 + 4x + (1 * -1 + x * -1)
-17 + 1x = -10 + 4x + (-1 + -1x)

Reorder the terms:
-17 + 1x = -10 + -1 + 4x + -1x

Combine like terms: -10 + -1 = -11
-17 + 1x = -11 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-17 + 1x = -11 + 3x

Solving
-17 + 1x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-17 + 1x + -3x = -11 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-17 + -2x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + -2x = -11 + 0
-17 + -2x = -11

Add '17' to each side of the equation.
-17 + 17 + -2x = -11 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = -11 + 17
-2x = -11 + 17

Combine like terms: -11 + 17 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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