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

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


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

Reorder the terms:
-3(5 + 2x) + 2(3x + -1) = x + -5
(5 * -3 + 2x * -3) + 2(3x + -1) = x + -5
(-15 + -6x) + 2(3x + -1) = x + -5

Reorder the terms:
-15 + -6x + 2(-1 + 3x) = x + -5
-15 + -6x + (-1 * 2 + 3x * 2) = x + -5
-15 + -6x + (-2 + 6x) = x + -5

Reorder the terms:
-15 + -2 + -6x + 6x = x + -5

Combine like terms: -15 + -2 = -17
-17 + -6x + 6x = x + -5

Combine like terms: -6x + 6x = 0
-17 + 0 = x + -5
-17 = x + -5

Reorder the terms:
-17 = -5 + x

Solving
-17 = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-17 + -1x = -5 + x + -1x

Combine like terms: x + -1x = 0
-17 + -1x = -5 + 0
-17 + -1x = -5

Add '17' to each side of the equation.
-17 + 17 + -1x = -5 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = -5 + 17
-1x = -5 + 17

Combine like terms: -5 + 17 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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