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

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


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

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

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

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

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

Solving
-2 + 1x = 10 + 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.
-2 + 1x + -5x = 10 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-2 + -4x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -4x = 10 + 0
-2 + -4x = 10

Add '2' to each side of the equation.
-2 + 2 + -4x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 10 + 2
-4x = 10 + 2

Combine like terms: 10 + 2 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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