2+5(x+5)=4(2x+3)+6

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Solution for 2+5(x+5)=4(2x+3)+6 equation: 


Simplifying
2 + 5(x + 5) = 4(2x + 3) + 6

Reorder the terms:
2 + 5(5 + x) = 4(2x + 3) + 6
2 + (5 * 5 + x * 5) = 4(2x + 3) + 6
2 + (25 + 5x) = 4(2x + 3) + 6

Combine like terms: 2 + 25 = 27
27 + 5x = 4(2x + 3) + 6

Reorder the terms:
27 + 5x = 4(3 + 2x) + 6
27 + 5x = (3 * 4 + 2x * 4) + 6
27 + 5x = (12 + 8x) + 6

Reorder the terms:
27 + 5x = 12 + 6 + 8x

Combine like terms: 12 + 6 = 18
27 + 5x = 18 + 8x

Solving
27 + 5x = 18 + 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.
27 + 5x + -8x = 18 + 8x + -8x

Combine like terms: 5x + -8x = -3x
27 + -3x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
27 + -3x = 18 + 0
27 + -3x = 18

Add '-27' to each side of the equation.
27 + -27 + -3x = 18 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 18 + -27
-3x = 18 + -27

Combine like terms: 18 + -27 = -9
-3x = -9

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

Simplifying
x = 3

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