2+3(x+8)=2(3x+4)+3

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Solution for 2+3(x+8)=2(3x+4)+3 equation: 


Simplifying
2 + 3(x + 8) = 2(3x + 4) + 3

Reorder the terms:
2 + 3(8 + x) = 2(3x + 4) + 3
2 + (8 * 3 + x * 3) = 2(3x + 4) + 3
2 + (24 + 3x) = 2(3x + 4) + 3

Combine like terms: 2 + 24 = 26
26 + 3x = 2(3x + 4) + 3

Reorder the terms:
26 + 3x = 2(4 + 3x) + 3
26 + 3x = (4 * 2 + 3x * 2) + 3
26 + 3x = (8 + 6x) + 3

Reorder the terms:
26 + 3x = 8 + 3 + 6x

Combine like terms: 8 + 3 = 11
26 + 3x = 11 + 6x

Solving
26 + 3x = 11 + 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.
26 + 3x + -6x = 11 + 6x + -6x

Combine like terms: 3x + -6x = -3x
26 + -3x = 11 + 6x + -6x

Combine like terms: 6x + -6x = 0
26 + -3x = 11 + 0
26 + -3x = 11

Add '-26' to each side of the equation.
26 + -26 + -3x = 11 + -26

Combine like terms: 26 + -26 = 0
0 + -3x = 11 + -26
-3x = 11 + -26

Combine like terms: 11 + -26 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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