5x-3+2x=3(x+2)+11

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Solution for 5x-3+2x=3(x+2)+11 equation:


Simplifying
5x + -3 + 2x = 3(x + 2) + 11

Reorder the terms:
-3 + 5x + 2x = 3(x + 2) + 11

Combine like terms: 5x + 2x = 7x
-3 + 7x = 3(x + 2) + 11

Reorder the terms:
-3 + 7x = 3(2 + x) + 11
-3 + 7x = (2 * 3 + x * 3) + 11
-3 + 7x = (6 + 3x) + 11

Reorder the terms:
-3 + 7x = 6 + 11 + 3x

Combine like terms: 6 + 11 = 17
-3 + 7x = 17 + 3x

Solving
-3 + 7x = 17 + 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.
-3 + 7x + -3x = 17 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-3 + 4x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 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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