4x-(2x+3)=3(2x+5)+2

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Solution for 4x-(2x+3)=3(2x+5)+2 equation: 


Simplifying
4x + -1(2x + 3) = 3(2x + 5) + 2

Reorder the terms:
4x + -1(3 + 2x) = 3(2x + 5) + 2
4x + (3 * -1 + 2x * -1) = 3(2x + 5) + 2
4x + (-3 + -2x) = 3(2x + 5) + 2

Reorder the terms:
-3 + 4x + -2x = 3(2x + 5) + 2

Combine like terms: 4x + -2x = 2x
-3 + 2x = 3(2x + 5) + 2

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

Reorder the terms:
-3 + 2x = 15 + 2 + 6x

Combine like terms: 15 + 2 = 17
-3 + 2x = 17 + 6x

Solving
-3 + 2x = 17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 2x + -6x = 17 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-3 + -4x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -4x = 17 + 0
-3 + -4x = 17

Add '3' to each side of the equation.
-3 + 3 + -4x = 17 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 17 + 3
-4x = 17 + 3

Combine like terms: 17 + 3 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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