7+(2x+3)=5(x+2)+6

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Solution for 7+(2x+3)=5(x+2)+6 equation:


Simplifying
7 + (2x + 3) = 5(x + 2) + 6

Reorder the terms:
7 + (3 + 2x) = 5(x + 2) + 6

Remove parenthesis around (3 + 2x)
7 + 3 + 2x = 5(x + 2) + 6

Combine like terms: 7 + 3 = 10
10 + 2x = 5(x + 2) + 6

Reorder the terms:
10 + 2x = 5(2 + x) + 6
10 + 2x = (2 * 5 + x * 5) + 6
10 + 2x = (10 + 5x) + 6

Reorder the terms:
10 + 2x = 10 + 6 + 5x

Combine like terms: 10 + 6 = 16
10 + 2x = 16 + 5x

Solving
10 + 2x = 16 + 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.
10 + 2x + -5x = 16 + 5x + -5x

Combine like terms: 2x + -5x = -3x
10 + -3x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -3x = 16 + 0
10 + -3x = 16

Add '-10' to each side of the equation.
10 + -10 + -3x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 16 + -10
-3x = 16 + -10

Combine like terms: 16 + -10 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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