9+5(x+2)=2(4x+2)+3

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Solution for 9+5(x+2)=2(4x+2)+3 equation: 


Simplifying
9 + 5(x + 2) = 2(4x + 2) + 3

Reorder the terms:
9 + 5(2 + x) = 2(4x + 2) + 3
9 + (2 * 5 + x * 5) = 2(4x + 2) + 3
9 + (10 + 5x) = 2(4x + 2) + 3

Combine like terms: 9 + 10 = 19
19 + 5x = 2(4x + 2) + 3

Reorder the terms:
19 + 5x = 2(2 + 4x) + 3
19 + 5x = (2 * 2 + 4x * 2) + 3
19 + 5x = (4 + 8x) + 3

Reorder the terms:
19 + 5x = 4 + 3 + 8x

Combine like terms: 4 + 3 = 7
19 + 5x = 7 + 8x

Solving
19 + 5x = 7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
19 + 5x + -8x = 7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
19 + -3x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
19 + -3x = 7 + 0
19 + -3x = 7

Add '-19' to each side of the equation.
19 + -19 + -3x = 7 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 7 + -19
-3x = 7 + -19

Combine like terms: 7 + -19 = -12
-3x = -12

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

Simplifying
x = 4

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