3x-(2x+5)=12+5(x+1)

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Solution for 3x-(2x+5)=12+5(x+1) equation:


Simplifying
3x + -1(2x + 5) = 12 + 5(x + 1)

Reorder the terms:
3x + -1(5 + 2x) = 12 + 5(x + 1)
3x + (5 * -1 + 2x * -1) = 12 + 5(x + 1)
3x + (-5 + -2x) = 12 + 5(x + 1)

Reorder the terms:
-5 + 3x + -2x = 12 + 5(x + 1)

Combine like terms: 3x + -2x = 1x
-5 + 1x = 12 + 5(x + 1)

Reorder the terms:
-5 + 1x = 12 + 5(1 + x)
-5 + 1x = 12 + (1 * 5 + x * 5)
-5 + 1x = 12 + (5 + 5x)

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

Solving
-5 + 1x = 17 + 5x

Solving for variable 'x'.

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

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

Combine like terms: 1x + -5x = -4x
-5 + -4x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -4x = 17 + 0
-5 + -4x = 17

Add '5' to each side of the equation.
-5 + 5 + -4x = 17 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 17 + 5
-4x = 17 + 5

Combine like terms: 17 + 5 = 22
-4x = 22

Divide each side by '-4'.
x = -5.5

Simplifying
x = -5.5

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